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Espace numérique de travail
Laboratoires de recherche

Luc
VRANCKEN

  • Bâtiment Abel de Pujol 2
    Bureau 101
  • +33 3 27 51 1909
Mon thème de recherche est la géométrie différentielle des sous-variétés. Dans cette spécialité, on
recherche les relations entre les propriétés intrinsèques d'une sous-variété (propriétés qui dépendent
seulement de la sous-variété elle même et non de l'immersion dans l'espace ambiant) et les
propriétés extrinsèques. Durant les dernières décennies, de nombreux résultats nouveaux ont été
obtenus dans ce domaine de la géométrie différentielle par des géomètres célèbres comme Bryant,
Calabi, Chern, Harvey, Lawson, Nomizu, Osserman, Pinkall, Ros, Yau, Willmore et bien d’autres.
Plusieurs de ces résultats traitent de la géométrie différentielle affine ou des sous-variétés des
espaces réels ou complexes caractérisées par un principe variationnel. Les deux sujets ci-dessus sont
exactement les sujets de recherche qui se trouvent au coeur de ma recherche.
Plus précisement, mes thèmes de recherches sont:
1 - Les sous-variétés minimales de la sphère
2 - Les sous-variétés lagrangienne de l’espace projective complexe
3 - Les sous-variétés de la sphère de dimension 6
4 - Les sous-variétés de la sphère de dimension S3 x S3
5 - La géométrie différentielle équiaffine

Diplômes universitaires

  • 1999 :
    Habilitation en Mathématiques, Technische Universität Berlin, Allemagne
  • 1989 :
    Doctoraat Wiskunde (doctorat en mathématiques); Katholieke Unversiteit Leuven (Belgique)
    Titre: Differentiaalmeetkunde van speciale deelvariëteiten van sferen en affiene
    ruimten (Géométrie Différentielle des sous-variétés spéciales des sphères et des
    espaces affines)
    Directeur de thèse : Prof. Dr. L. Verstraelen
    Rapporteurs: Prof. Dr. J. Bolton (Durham), Prof. Dr. L. M. Woodward (Durham)
    Grade: la plus grande distinction
  • 1986 :
    Licentie Wiskunde, comparable avec Licence-Maîtrise-DEA, Katholieke Universiteit Leuven, Belgique
    Grade: la plus grande distinction

Expériences professionnelles

  • De octobre 1986 à septembre 1990 :
    Attaché de Recherche du Fond National Belge de la Recherche
    Scientifique (FWO), en poste à la Katholieke Universiteit Leuven, dans le but de préparer
    une thèse en Mathématiques.
  • De septembre 1990 à septembre 1991 :
    Service militaire
  • De septembre 1991 à août 1997 :
    Chargé de Recherche du Fond National Belge de la Recherche
    Scientifique (FWO) (Postdoctoral fellowship) en poste à la Katholieke Universiteit Leuven
  • De septembre 1997 à septembre 1998 :
    Chargé de Recherche Katholieke Universiteit Leuven (Postdoctoral fellowship), Belgique
  • De octobre 1998 à juillet 1999 :
    Collaborateur Scientifique, Technische Universität Berlin, Allemagne
  • De août 1999 à août 2000 :
    boursier de Alexander von Humboldt ,en poste à la Technische Universität Berlin (Allemagne)
  • Des septembre 2000 à août 2002 :
    Enseignant-Chercheur (comparable à Maitre de Conférences), Universiteit Utrecht, Pays-Bas.
  • Depuis septembre 2002 :
    Professeur des Universités,UVHC (Université de Valenciennes et du Hainaut Cambrésis), France

Valorisations academiques

    Responsabilités scientifiques de thèses

    1. H. Trabelsi, 2003-2006, 70%, joint UVHC, Université de Sfax, Tunisia
    2. L. Ramifidisoa, 2004-2008, 100%, UVHC
    3. M. Antic, 2006-2010, 50%, joint UVHC, Université de Belgrade, Serbia
    4. K. Schoels, 2009-2013, 40% at the Katholieke Universiteit Leuven, Belgique.
    5. B. Dioos, 2011-..., 70% at the Katholieke Universiteit Leuven, Belgique

    • Autres

  • Membre du comité éditoriale de

    1. Compositio Mathematica, 2005-2010

    2. Results in Mathematics, depuis 2002

    3. Contributions to algebra and Geometry, depuis 2004

    4. International Journal of Mathematics and Mathematical Sciences, depuis 2012

Organisation de conférences, expositions...

  • 2000 Workshop ”PDEs and Submanifolds”, TU Berlin, December 1-3, 2000, co-organisateur avec U. Simon et M. Wiehe (TUBerlin)
  • 2001 Workshop ”PDEs and Submanifolds”, TU Berlin, November 23-25, 2001, co-organisateur  avec U. Simon, M. Wiehe (TUBerlin) et C. Wang (Peking University, China)
  • 2002 Workshop ”PDEs and Submanifolds”, TU Berlin, October 25-27, 2002, co-organisateur avec  U. Simon, M. Wiehe (TUBerlin) and A.M. Li (Université de Sichuan, Chine)
  • 2003 Workshop on Submanifold Theory, Valenciennes-Leuven, June 2003 (organisateur)
  • 2007 International Congress on Pure and Applied Differential Geometry, PADGE, Bruxelles, Avril 10-13, 2007 (co-organisor)
  • 2007 Symposium on the differential geometry of submanifolds, Valenciennes Juillet 3-7, 2007, co-organisateur avec  F. Dillen (KULeuven) et U.Simon (TUBerlin)

  • 2010: Workshop on Submanifolds,Valenciennes (February 4, 2010) – Leuven (February 5, 2010), co-organisateur avec Prof. Dr; F. Dillen (Katholieke Universiteit Leuven)

  • 2012:  Padge 2012: Conference on pure and applied differential geometry, Kaholieke Unversiteit Leuven, 27 Août-31 Août, co-organisateur

Responsabilités pédagogiques

    • Responsable du Master de Mathématiques (Université de Valenciennes et du Hainaut Cambrésis), 2003-2010

    • Président du Jury de la Licence de Mathématiques, depuis 2006

    • Responsable de la filière  de Mathématiques de 2007 à 2009

Enseignements actuels

  • Mathématiques 3 pour les SPI (Valenciennes et (partiellement) Cambrai), Licence 2 SPI
    Géométrie Différentielle, Master 1 de Mathématiques, Parcours Recherche
    Compléménts de Mathématiques, Licence 2 de Mathématiques

Enseignements antérieurs

  • Géométrie differentielle, Semestre 8 du Master 1 Mathématiques
    Géométrie Riemannienne, Semestre 9 du Master 2 Mathématiques
    Géométrie differentielle et geometrie projective, Semestre 7 du Master 1 Mathématiques
    Analyse 4, Licence 2 de Mathématiques
    Géométrie 6, Licence 3 de Mathématiques
    Topologie 6,  Licence 3 de Mathématiques
    Algèbre 2, Licence 1 de SPI (Cambrai)
    Analyse 2, Licence 1 de Mathématiques

Articles dans des Revues Internationales a comité de lecture (2009-2012):

  1. F. Dillen, Franki ; H. Li, ; L. Vrancken; X.  Wang, Lagrangian submanifolds in complex projective space with parallel second fundamental form. Pacific J. Math. 255 (2012), no. 1, 79--115.
  2.  H.  Li, L. Vrancken, X. Wang. Minimal Lagrangian isotropic immersions in indefinite complex space forms. J. Geom. Phys. 62 (2012), no. 4, 707--723.
  3.  B. Y. Chen, F. Dillen, L. Vrancken,  Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. J. Math. Anal. Appl. 387 (2012), no. 1, 139--152.
  4.  X. Wang, H.  Li,  L.  Vrancken, X. Wang . Lagrangian submanifolds in 3-dimensional complex space forms with isotropic cubic tensor. Bull. Belg. Math. Soc. Simon Stevin 18 (2011), no. 3, 431--451.
  5. Z. Hu, C. Li,H. Li, L. Vrancken. The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form. J. Geom. Phys. 61 (2011), no. 11, 2035—2057.
  6. Z. Hu, C. Li, H. Li, L. Vrancken. Lorentzian affine hypersurfaces with parallel cubic form. Results Math. 59(2011),  no. 3-4, 577—620.
  7. Z. Hu, H. Li, L. Vrancken. Locally strongly convex affine hypersurfaces with parallel cubicform. J. Differential Geom.  87 (2011),  no. 2, 239-307.
  8. U. Simon, A. Schwenk-Schellschmidt, L. Vrancken. Codazzi-equivalent Riemannian metrics. Asian J. Math. 14 (2010),  no. 3, 291—302.
  9. M. Anti?, L. Vrancken, Sequences of minimal surfaces in $S^{2n+1}$. Israel J. Math.  179  (2010), 493—508.
  10. M. Djori?, L. Vrancken. Geometric conditions on three-dimensional CR submanifolds in $S^6$. Adv. Geom.  10  (2010),  no. 2, 185—196.
  11. M. Djori?, L.  Vrancken. On $J$-parallel totally real three-dimensional submanifolds of $S^6(1)$. J. Geom. Phys.  60  (2010),  no. 2, 175—181 
  12. C. Rodriguez Montealegre, L.  Vrancken. Warped product minimal Lagrangian immersions in complex projective space. Results Math.  56  (2009),  no. 1-4, 405—420.
  13. F. Dillen, J.  Van der Veken, L. Vrancken. Pseudo-parallel Lagrangian submanifolds are semi-parallel. Differential Geom. Appl.  27  (2009),  no. 6, 766—768.
  14. J. Bolton, F. Dillen, J. Fastenakels, L. Vrancken. A best possible inequality for curvature-like tensor fields. Math. Inequal. Appl.  12 (2009),  no. 3, 663—681.
  15. J. Bolton, C. Rodriguez Montealegre, L. Vrancken.  Characterizing warped-product Lagrangian immersions in complex projective space. Proc. Edinb. Math. Soc. (2)  52  (2009),  no. 2, 273—286.
  16. Z. Hu, H. Li, U. Simon, L. Vrancken. On locally strongly convex affine hypersurfaces with parallel cubic form. I. Differential Geom. Appl.  27 (2009),  no. 2, 188—205.
  17. M. Djori?, L. Vrancken. Three-dimensional CR-submanifolds in the nearly Kähler 6-sphere with one-dimensional nullity. Internat. J. Math. 20 (2009), no. 2, 189—208.
  18. J. Bolton, L. Vrancken. Transforms for minimal surfaces in the 5-sphere. Differential Geom. Appl. 27 (2009), no. 1, 34—46.

Articles dans des Revues Internationales a comité de lecture (2005-2008):

  1. Anti?, Miroslava; Bolton, John; Vrancken, Luc Minimal surfaces with reflectionally symmetric sequences. Bull. Transilv. Univ. Bra?ov Ser. III 1(50) (2008), 15–24.

  2. Van der Veken, Joeri; Vrancken, Luc Parallel and semi-parallel hypersurfaces of $\Bbb S^n\times\Bbb R$. Bull. Braz. Math. Soc. (N.S.) 39 (2008), no. 3, 355–370.

  3. Simon, Udo; Trabelsi, Houda; Vrancken, Luc Complete hyperbolic Tchebychev hypersurfaces. J. Geom. 89 (2008), no. 1-2, 148–159.

  4. Hu, Zejun; Li, Haizhong; Vrancken, Luc Characterizations of the Calabi product of hyperbolic affine hyperspheres. Results Math. 52 (2008), no. 3-4, 299–314.

  5. Bolton, John; Dillen, Franki; Vrancken, Luc Lagrangian submanifolds attaining equality in a basic inequality. Symposium on the Differential Geometry of Submanifolds, 37–42, [s.n.], [s.l.], 2007.

  6. Dillen, Franki; Fastenakels, Johan; Van der Veken, Joeri; Vrancken, Luc Constant angle surfaces in $\Bbb S^2\times\Bbb R$. Monatsh. Math. 152 (2007), no. 2, 89–96. (Reviewer: Jaime B. Ripoll),

  7. Bolton, J.; Vrancken, L. Lagrangian submanifolds attaining equality in the improved Chen's inequality. Bull. Belg. Math. Soc. Simon Stevin 14 (2007), no. 2, 311–315.

  8. Anti?, Miroslava; Djori?, Mirjana; Vrancken, Luc 4-dimensional minimal CR submanifolds of the sphere $S^6$ satisfying Chen's equality. Differential Geom. Appl. 25 (2007), no. 3, 290–298.

  9. Furuhata, Hitoshi; Vrancken, Luc The center map of an affine immersion. Results Math. 49 (2006), no. 3-4, 201–217.

  10. Anti?, Miroslava; Djori?, Mirjana; Vrancken, Luc Characterization of totally geodesic totally real 3-dimensional submanifolds in the 6-sphere. Acta Math. Sin. (Engl. Ser.) 22 (2006), no. 5, 1557–1564.

  11. Djori?, Mirjana; Vrancken, Luc Three-dimensional minimal CR submanifolds in $S^6$ satisfying Chen's equality. J. Geom. Phys. 56 (2006), no. 11, 2279–2288.

  12. Bolton, John; Vrancken, Luc. Ruled minimal Lagrangian submanifolds of complex projective 3-space. Asian J. Math. 9 (2005), no. 1, 45—56.

  13. Li, Haizhong; Vrancken, Luc A basic inequality and new characterization of Whitney spheres in a complex space form. Israel J. Math. 146 (2005), 223—242.

  14. Martínez, Antonio.; Milán, Francisco.; Vrancken, Luc. A class of surfaces with flat Blaschke metric and their characterization. Ann. Global Anal. Geom. 28 (2005), no. 1, 35—57.


 

Articles dans des Revues Internationales a comité de lecture (2000-2004):

  1.  Vrancken, L.  Centroaffine extremal surfaces. Soochow J. Math.  30  (2004),  no. 3, 377—390.
  2. Scharlach, C. ;  Vrancken, L.  Parallel surfaces in affine 4-space. Abh. Math. Sem. Univ. Hamburg  73  (2003), 167—179.
  3.  Vrancken, Luc . Special Lagrangian submanifolds of the nearly Kaehler 6-sphere. Glasg. Math. J.  45  (2003),  no. 3, 415—426.
  4.  Vrancken, Luc . Rigidity of affine hypersurfaces with rank 1 shape operator.  Internat. J. Math.  14  (2003),  no. 3, 211—234.
  5. Li, Haizhong ;  Vrancken, Luc . New examples of Willmore surfaces in $S^n$. Ann. Global Anal. Geom.  23  (2003),  no. 3, 205—225.
  6.  Dillen, Franki ;  Verbouwe, Gerd ;  Vrancken, Luc . Cubic form geometry for immersions in centro-affine and graph hypersurfaces. Results Math.  43  (2003),  no. 1-2, 88—95.
  7.  Bolton, J. ;  Scharlach, C. ;  Vrancken, L.  From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space. Bull. Austral. Math. Soc.  66  (2002),  no. 3, 465—475.
  8. Chen, Bang-Yen ;  Vrancken, Luc . Slant surfaces with prescribed Gaussian curvature. Balkan J. Geom. Appl.  7  (2002),  no. 1, 29—36.
  9.  Chen, Bang-yen ;  Vrancken, Luc . Lagrangian submanifolds of the complex hyperbolic space. Tsukuba J. Math.  26  (2002),  no. 1, 95—118.
  10. Vrancken, Luc . Three dimensional affine hyperspheres generated by two dimensional partial differential equations. Math. Nachr.  237  (2002), 129—146.
  11. Vrancken, Luc . Minimal Lagrangian submanifolds with constant sectional curvature inindefinite complex space forms. Proc. Amer. Math. Soc.  130  (2002),  no. 5, 1459—1466
  12.  Chen, Bang-Yen ;  Vrancken, Luc . Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form. Tohoku Math. J. (2)  54 (2002),  no. 1, 121—143.
  13. Vrancken, Luc . Affine surfaces in 4-dimensional affine space with planar geodesics. Bull. Inst. Math. Acad. Sinica  29  (2001),  no. 4, 263—302.
  14. Castro, Ildefonso ;  Vrancken, Luc . Minimal Lagrangian submanifolds in $\Bbb C{\rm P}^3$ and the  sinh-Gordon equation. Dedicated to Shiing-Shen Chern on his 90th birthday. Results Math.  40  (2001),  no. 1-4, 130—143.
  15.  Vrancken, Luc . Parallel affine immersions with maximal codimension. Tohoku Math. J. (2) 53  (2001),  no. 4, 511—531.
  16. Rodriguez Montealegre, Cristina ;  Vrancken, Luc . Lagrangian submanifolds of the three dimensional complex projective space.  J. Math. Soc. Japan  53  (2001),  no. 3, 603—631.
  17. Lee, Chaujun Isaac ;  Vrancken, Luc . Projectively flat affine surfaces with flat affine metric.J. Geom.  70  (2001),  no. 1-2, 85—100.
  18. Magid, M. ;  Vrancken, L.  Affine surfaces in ${\Bbb R}^5$ with zero cubic form. Differential Geom. Appl.  14  (2001),  no. 2, 125—136.
  19. Kriele, Marcus ;  Scharlach, Christine ;  Vrancken, Luc . An extremal class of 3-dimensional elliptic affine spheres. Hokkaido Math. J.  30  (2001),  no. 1, 1—23.
  20. Vrancken, Luc . The Magid-Ryan conjecture for equiaffine hyperspheres with constant sectional curvature. J. Differential Geom.  54  (2000),  no. 1, 99—138.
  21.  Magid, Martin ;  Vrancken, Luc . Affine translation surfaces with constant sectional curvature.  J. Geom.  68  (2000),  no. 1-2, 192—199.
  22.  Magid, Martin ;  Vrancken, Luc . Flat affine surfaces in $\bold R^4$ with flat normal connection. Geom. Dedicata  81  (2000),  no. 1-3, 19—31.
  23.  Blair, D. E. ;  Korkmaz, B. ;  Vrancken, L.  The Calabi (Veronese) imbeddings as integral submanifolds of ${\bf C}{\rm P}^{2n+1}$. Glasg. Math. J.  42  (2000),  no. 2, 183—193.
  24. Verstraelen, L. ;  Vrancken, L. ;  Witowicz, P.  Indefinite affine umbilical surfaces in ${\bf R}^4$. Geom. Dedicata  79  (2000),  no. 2, 109—119.
  25. Chen, Bang-Yen ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces Proc. Amer. Math. Soc.  128  (2000),  no. 2, 589—598.
  26. Kriele, Marcus ;  Vrancken, Luc . Lorentzian affine hyperspheres with constant affine sectional curvature. Trans. Amer. Math. Soc.  352  (2000),  no. 4, 1581--1599.

Articles dans des Revues Internationales a comité de lecture (1996-1999):

  1.  Chen, Bang-Yen ;  Vrancken, Luc . CR-submanifolds of complex hyperbolic spaces satisfying a basic equality.  Israel J. Math.  110  (1999), 341—358.
  2. Deszcz, Ryszard ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . Quasi-Einstein totally real submanifolds of the nearly Kähler  $6$-sphere. Tohoku Math. J. (2)  51  (1999), no. 4, 461—478.
  3.  Bergen, E. ;  Ramakers, E. ;  Vrancken, L.  The Magid-Ryan conjecture for $4$-dimensional affine spheres.  Abh. Math. Sem. Univ. Hamburg  69  (1999), 139—157.
  4. Kriele, Marcus ;  Vrancken, Luc . An extremal class of three-dimensional hyperbolic affine spheres. Geom. Dedicata  77  (1999),  no. 3, 239—252.
  5.  De Smet, P. J. ;  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  A pointwise inequality in submanifold theory. Arch. Math. (Brno)  35  (1999),  no. 2, 115—128.
  6. Magid, M. ;  Vrancken, L.  Affine translation surfaces.  Results Math.  35  (1999),  no. 1-2, 134—144.
  7. Kriele, Marcus ;  Vrancken, Luc . Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature. Arch. Math. (Basel)  72  (1999),  no. 3, 223—232.
  8. Vrancken, L.  Killing vector fields and Lagrangian submanifolds of the nearly  Kaehler $S^6$. J. Math. Pures Appl. (9)  77  (1998),  no. 7, 631—645.
  9.  De Smet, P. J. ;  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  The normal curvature of totally real submanifolds of $S^6(1)$. Glasgow Math. J.  40  (1998),  no. 2, 199—204.
  10.  Dillen, Franki ;  Vrancken, Luc . When do some geodesics of the induced and the metrical connection coincide? Math. Nachr.  192  (1998), 173—189.
  11.  Dillen, Franki ;  Sasaki, Takeshi ;  Vrancken, Luc . The classification of projectively homogeneous surfaces. II. Osaka J. Math.  35  (1998),  no. 1, 117—146.
  12.  Chen, B.-Y. ;  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  Lagrangian isometric immersions of a real-space-form $M^n(c)$ into a complex-space-form $\widetilde M{}^n(4c)$. Math. Proc. Cambridge Philos. Soc.  124  (1998),  no. 1, 107—125.
  13. Scharlach, Christine ;  Vrancken, Luc . Centroaffine surfaces in ${\bf R}^4$ with planar $\nabla$-geodesics. Proc. Amer. Math. Soc.  126  (1998),  no. 1, 213—219.
  14. Bolton, John ;  Vrancken, Luc ;  Woodward, Lyndon M.  Totally real minimal surfaces with non-circular ellipse of curvature in the nearly Kähler $S^6$. J. London Math. Soc. (2)  56 (1997),  no. 3, 625—644
  15. Abdalla, B. E. ;  Dillen, F. ;  Vrancken, L.  Affine homogeneous surfaces in $\bold R^3$ with vanishing Pick invariant. Abh. Math. Sem. Univ. Hamburg  67  (1997), 105—115.
  16. Scharlach, Christine ;  Simon, Udo ;  Verstraelen, Leopold ;  Vrancken, Luc . A new intrinsic curvature invariant for centroaffine hypersurfaces. Beiträge Algebra Geom.  38  (1997),  no. 2, 437—458.
  17.  Chen, Bang-Yen ;  Vrancken, Luc . Existence and uniqueness theorem for slant immersions and its applications.  Results Math.  31  (1997),  no. 1-2, 28—39.
  18. Chen, Bang-Yen ;  Dillen, Franki ;  Vrancken, Luc ;  Verstraelen, Leopold . A variational minimal principle and its applications. Dedicated to U-Hang Ki on the occasion of his 60th birthday. Kyungpook Math. J.  35  (1996),  no. 3, Special Issue, 435—444.
  19.  Blair, D. E. ;  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  Calabi curves as holomorphic Legendre curves and Chen's inequality. Dedicated to U-Hang Ki on the occasion of his 60th birthday. Kyungpook Math. J.  35  (1996),  no. 3, Special Issue, 407—416.
  20. Petrovi?-Torgašev, M. ;  Verstraelen, L. ;  Vrancken, L.  $3$-type curves on hyperboloids of revolution and cones of  revolution. Publ. Inst. Math. (Beograd) (N.S.)  59(73)  (1996), 138—152.
  21.  Vrancken, Luc . Thomsen surfaces in affine $4$-space. Monatsh. Math.  122  (1996),  no. 3, 251—264.
  22.  Chen, Bang-Yen ;  Vrancken, Luc . Lagrangian submanifolds satisfying a basic equality. Math. Proc. Cambridge Philos. Soc.  120  (1996),  no. 2, 291—307.
  23. Chen, B.-Y. ;  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  An exotic totally real minimal immersion of $S^3$ in ${\bf C}{\rm P}^3$ and its characterisation.  Proc. Roy. Soc. Edinburgh Sect. A  126  (1996),  no. 1, 153—165.
  24.   Dillen, Franki ;  Vrancken, Luc . Totally real submanifolds in $S^6(1)$ satisfying Chen's equality. Trans. Amer. Math. Soc.  348  (1996),  no. 4, 1633--1646.

Articles dans des Revues Internationales a comité de lecture (1992-1995):

  1.  Blair, D. E. ; Dillen, F. ; Verstraelen, L. ; Vrancken, L. Deformations of Legendre curves.Note Mat. 15 (1995), no. 1, 99--110 .
  2. Magid, M. ;  Scharlach, C. ;  Vrancken, L.  Affine umbilical surfaces in $\bold R^4$.Manuscripta Math.  88  (1995),  no. 3, 275—289.
  3. Nomizu, Katsumi ;  Vrancken, Luc . Geodesics in affine differential geometry.Internat. J. Math.  6  (1995),  no. 5, 749—766.
  4. Cecil, T. ;  Magid, M. ;  Vrancken, L.  An affine characterization of the Veronese surface.Geom. Dedicata  57  (1995),  no. 1, 55—71.
  5. Chen, Bang-Yen ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . Compact hypersurfaces determined by a spectral variational principle.  Kyushu J. Math.  49  (1995), no. 1, 103—121.
  6. Chen, Bang-Yen ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . Two equivariant totally real immersions into the nearly Kähler $6$-sphere and their characterization.  Japan. J. Math. (N.S.)  21  (1995),  no. 1, 207—222.
  7. Hilton, Peter ;  Pedersen, Jean ;  Vrancken, Luc . On certain arithmetic properties of Fibonacci and Lucas numbers. Fibonacci Quart.  33  (1995),  no. 3, 211—217.
  8. Dillen, F. ;  Verstraelen, L. ;  Vrancken, L. ;  Zafindratafa, G.  Classification of polynomial translation hypersurfaces of finite type. Results Math.  27  (1995),  no. 3-4, 244—249.
  9. Chen, Bang-Yen ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . Characterizing a class of totally real submanifolds of $S^6$ by their sectional curvatures. Tohoku Math. J. (2) 47  (1995),  no. 2, 185—198.
  10.  Magid, Martin ;  Vrancken, Luc . Homogeneous hypersurfaces with nondiagonalisable, rank one shape operators. Soochow J. Math.  21  (1995),  no. 1, 89—105.
  11.  Nomizu, Katsumi ;  Vrancken, Luc . Another rigidity theorem for affine immersions. Results Math.  27  (1995),  no. 1-2, 93—96.
  12.  Dillen, Franki ;  Vrancken, Luc . Affine surfaces which are both affine harmonic and affine maximal. Results Math.  27  (1995),  no. 1-2, 35—40.
  13. Vrancken, Luc . Affine surfaces whose geodesics are planar curves  Proc. Amer. Math. Soc. 123  (1995),  no. 12, 3851—3854.
  14.  Vrancken, Luc ;  Wang, Chang Ping . Surfaces in ${\bf R}^4$ with constant affine Gauss maps.  Proc. Amer. Math. Soc.  123  (1995),  no. 3, 855—863.
  15. Mihai, I. ;  Rosca, R. ;  Verstraelen, L. ;  Vrancken, L.  Tensor product surfaces of Euclidean planar curves.  Rend. Sem. Mat. Messina Ser. II  3(18)  (1994/95), 173—185.
  16.   Bolton, John ;  Vrancken, Luc ;  Woodward, Lyndon M.  On almost complex curves in the nearly Kähler $6$-sphere. Quart. J. Math. Oxford Ser. (2)  45  (1994),  no. 180, 407—427.
  17. Vrancken, Luc . Degenerate homogeneous affine surfaces in $\bold R^3$. Geom. Dedicata 53  (1994),  no. 3, 333—351.
  18. Dillen, Franki ;  Vrancken, Luc . Calabi-type composition of affine spheres.Differential Geom. Appl.  4  (1994),  no. 4, 303—328.
  19.  Chen, B.-Y. ;  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  Totally real submanifolds of ${\bf C}{\rm P}^n$ satisfying a basic equality. Arch. Math. (Basel)  63  (1994),  no. 6, 553—564.
  20. Defever, Filip ;  Deszcz, Ryszard ;  Verstraelen, Leopold ;  Vrancken, Luc . On pseudosymmetric space-times. J. Math. Phys.  35  (1994),  no. 11, 5908—5921.
  21. Decruyenaere, Fabien ;  Dillen, Franki ;  Vrancken, Luc ;  Verstraelen, Leopold . Affine surfaces in $\bold R^5$. Internat. J. Math.  5  (1994),  no. 5, 657—679.
  22. Dillen, Franki ;  Vrancken, Luc ;  Yaprak, Sahnur . Affine hypersurfaces with parallel cubic form. Nagoya Math. J.  135  (1994), 153—164.
  23. Scharlach, Christine ;  Vrancken, Luc . On locally symmetric affine hypersurfaces. Arch. Math. (Basel)  63  (1994),  no. 4, 368—376.
  24.  Dillen, Franki ;  Vrancken, Luc . Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces.  J. Math. Soc. Japan  46  (1994),  no. 3, 477—502.
  25.  Dillen, F. ;  Mys, G. ;  Verstraelen, L. ;  Vrancken, L.  The affine mean curvature vector for surfaces in ${\bf R}^4$. Math. Nachr.  166  (1994), 155—165.
  26.  Dillen, F. ;  Vrancken, L.  Parallel hypersurfaces of affine spaces.  Rend. Sem. Mat. Messina Ser. II  2(16)  (1993), 71—80.
  27. Decruyenaere, F. ;  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  The semiring of immersions of manifolds. Beiträge Algebra Geom.  34  (1993),  no. 2, 209—215.
  28. Chen, Bang-Yen ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . A variational minimal principle characterizes submanifolds of finite type. C. R. Acad. Sci. Paris Sér. I Math.  317  (1993),  no. 10, 961—965.
  29. Dillen, Franki ;  Vrancken, Luc . The classification of $3$-dimensional locally strongly convex  homogeneous affine hypersurfaces. Manuscripta Math.  80  (1993),  no. 2, 165—180.
  30.  Nomizu, Katsumi ;  Vrancken, Luc . A new equiaffine theory for surfaces in $\bold R^4$.Internat. J. Math.  4  (1993),  no. 1, 127—165.
  31. Chen, Bang-Yen ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . Submanifolds of restricted type. J. Geom.  46  (1993),  no. 1-2, 20—32.
  32. Dillen, Franki ;  Vrancken, Luc . Homogeneous affine hypersurfaces with rank one shape operators. Math. Z.  212  (1993),  no. 1, 61—72.
  33.   Vrancken, Luc . Some remarks on isotropic submanifolds. Publ. Inst. Math. (Beograd) (N.S.)  51(65)  (1992), 94—100.
  34.  Dillen, Franki ;  Ro?ca, Radu ;  Verstraelen, Leopold ;  Vrancken, Luc . Pseudo-isotropic Lorentzian hypersurfaces in Minkowski space. J. Geom. Phys.  9  (1992),  no. 2, 149—154.
  35.  Bolton, J. ;  Woodward, L. M. ;  Vrancken, L.  Minimal immersions of $S^2$ and ${\bf R}{\rm P}^2$ into ${\bf C}{\rm P}^n$ with few higher order singularities.  Math. Proc. Cambridge Philos. Soc.  111  (1992),  no. 1, 93--101.

Articles dans des Revues Internationales a comité de lecture (avant 1992):

  1. Vrancken, Luc . Affine quasi-umbilical hypersurfaces which are flat with respect to the affine metric. Results Math.  20  (1991),  no. 3-4, 756—776.
  2. Dillen, Franki ;  Martínez, Antonio ;  Milán, Francisco ;  Garcia Santos, Florentino ; Vrancken, Luc . On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces. Results Math.  20  (1991),  no. 3-4, 622—642.
  3. Dillen, Franki ;  Vrancken, Luc . $3$-dimensional affine hypersurfaces in ${\bf R}^4$ with parallel cubic form.Nagoya Math. J.  124  (1991), 41—53.
  4. Deszcz, R. ;  Verstraelen, L. ;  Vrancken, L.  The symmetry of warped product space-times.Gen. Relativity Gravitation  23  (1991),  no. 6, 671—681.
  5.  Vrancken, Luc ;  Li, An Min ;  Simon, Udo . Affine spheres with constant affine sectional curvature.  Math. Z.  206  (1991),  no. 4, 651—658.
  6.  Vrancken, Luc . Affine surfaces with higher order parallel cubic form.  Tohoku Math. J. (2) 43  (1991),  no. 1, 127—139.
  7.   Vrancken, Luc . $3$-dimensional isotropic submanifolds of spheres. Tsukuba J. Math.  14 (1990),  no. 2, 279—292.
  8.  Chen, Bang-Yen ;  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . Ruled surfaces of finite type. Bull. Austral. Math. Soc.  42  (1990),  no. 3, 447—453.
  9.  Dillen, Franki ;  Vrancken, Luc . Higher order parallel submanifolds of a complex space form. Results Math.  18  (1990),  no. 3-4, 202—208.
  10.  Deprez, J. ;  Dillen, F. ;  Vrancken, L.  Finite type curves on quadrics. Chinese J. Math.  18 (1990),  no. 2, 95—121.
  11.  Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  Classification of totally real $3$-dimensional submanifolds of $S^6(1)$ with $K\ge 1/16$. J. Math. Soc. Japan  42  (1990),  no. 4, 565—584.
  12.  Dillen, Franki ;  Nomizu, Katsumi ;  Vranken, Luc . Conjugate connections and Radon's theorem in affine differential geometry. Monatsh. Math.  109  (1990),  no. 3, 221—235.
  13.  Dillen, Franki ;  Vrancken, Luc . ${\bf C}$-totally real submanifolds of Sasakian space forms.  J. Math. Pures Appl. (9)  69  (1990),  no. 1, 85—93.
  14. Vrancken, Luc . Affine surfaces with constant affine curvatures. Geom. Dedicata  33 (1990),  no. 2, 177—194.
  15. Vrancken, Luc . Locally symmetric $C$-totally real submanifolds of $S^7(1)$  Kyungpook Math. J.  29  (1989),  no. 2, 167—186.
  16. Dillen, Franki ;  Vrancken, Luc . Complex affine hypersurfaces of ${\bf C}^{n+1}$. II. Bull. Soc. Math. Belg. Sér. B  41  (1989),  no. 1, 1—27.
  17.   Dillen, Franki ;  Vrancken, Luc . $C$-totally real submanifolds of $S^7(1)$ with nonnegative sectional curvature. Math. J. Okayama Univ.  31  (1989), 227—242 
  18. Verstraelen, Leopold ;  Vrancken, Luc . Affine variation formulas and affine minimal surfaces. Michigan Math. J.  36  (1989),  no. 1, 77—93.
  19.   Vrancken, Luc . Affine higher order parallel hypersurfaces. Ann. Fac. Sci. Toulouse Math. (5)  9  (1988),  no. 3, 341—353.
  20. Vrancken, Luc . Locally symmetric submanifolds of the nearly Kaehler $S^6$. Algebras Groups Geom.  5  (1988),  no. 4, 369—394.
  21.   Dillen, F. ;  Vrancken, L. ;  Verstraelen, L.  Complex affine differential geometry.Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.  66  (1988), 231--260 (1989).
  22. Dillen, Franki ;  Vrancken, Luc . Complex affine hypersurfaces of ${\bf C}^{n+1}$. I.Bull. Soc. Math. Belg. Sér. B  40  (1988),  no. 3, 245—271.
  23. Verstraelen, Leopold ;  Vrancken, Luc . Pinching theorems for $C$-totally real submanifolds of Sasakian space forms. J. Geom.  33  (1988),  no. 1-2, 172—184.
  24. Dillen, F. ;  Opozda, B. ;  Verstraelen, L. ;  Vrancken, L.  On totally real surfaces of the nearly Kaehler $6$-sphere. Geom. Dedicata  27  (1988),  no. 3, 325—334.
  25.  Dillen, Franki ;  Verstraelen, Leopold ;  Vrancken, Luc . On problems of U. Simon concerning minimal submanifolds of the nearly Kaehler $6$-sphere. Bull. Amer. Math. Soc. (N.S.)  19  (1988),  no. 2, 433—438.
  26.  Dillen, Franki ;  Opozda, Barbara ;  Verstraelen, Leopold ;  Vrancken, Luc . On almost complex surfaces of the nearly Kaehler $6$-sphere. Zb. Rad. (Kragujevac)  No. 8  (1987), 5—13.
  27. Dillen, F. ;  Verstraelen, L. ;  Vrancken, L.  On almost complex surfaces of the nearly Kaehler $6$-sphere. II. Kodai Math. J.  10  (1987),  no. 3, 261—271.
  28. Vrancken, Luc . Kaehler submanifolds of a quaternion space form. Soochow J. Math.  13 (1987),  no. 1, 97—120.
  29. Dillen, F. ;  Opozda, B. ;  Verstraelen, L. ;  Vrancken, L.  On totally real $3$-dimensional submanifolds of the nearly Kaehler  $6$-sphere. Proc. Amer. Math. Soc.  99  (1987),  no. 4, 741--749.

Visites de recherches à des laboratoires étrangères:

  • University of Durham, UK, 1 mois en 1988, 2 semaines en 1987, 1989, 1991, 1992, 1993 et 1 semaine en 1990, 1996, 2000, 2001, 2003, 2004, 2005, 2006, 2007, 2008 and 2010

  • Technische Universität Berlin, Allemagne, 2 mois en 2001 et 2002, 1 mois en 2003 et 2004, 3 semaines en 1991, 1992 et 2011, 2 semaines en 1994, 1996, 1997, 2005, 2006, 2007 et 2008.

  • Universidad de Granada, 1 mois en 1987, 1989, 1996, 1997, 1998 et  1 semaine  en 2004, 2008, 2009 et 2010

  • Wellesley College (USA), 2 semaines en  1996 et 1997,  1 semaine en 1992, 1993, 1994, 1995 et 1998

  • University of North Carolina at Chapel Hill (USA), 1 semaine, 1993

  • Brown University (USA), 1 mois en 1993, 3 semaines en 1992 et 1994 et 2 semaines en 1996

  • Michigan State University (USA), 3 semaines en 1995 et 1997, 1 semaine en 1998, 2 semaines  en 2011 et 2012

  • University of Connecticut (USA), 1 semaine en 1995 et 1996,

  • Fairfield University (USA), 1 semaine, 1998

  • Universidad de Jaen, Spain, 1 semaine en 1997, 1998, 2001 et 2004

  • Tokyo Metropolitan University, Japon, 1 semaine, 2003

  • Hokkaido University, Japon, 1 semaine, 2003

  • University of Belgrade, Serbia, 1 semaine en 2003, 2006, 2007 et 2 semaines en 2004 et 2005

  • University of Cracow, Poland, 1 semaine en 2004

  • Katholieke Universiteit Leuven, 1 semaine  en 2005 et 2007, participation régulière au séminaires depuis 2008

  • Tsinghua University, Beijing (China), 2 semaines en 2007, 2008, 2009, 2011 et 2012

  • Zhengzhou University, Zhengzhou (China), 1 semaine en  2009, 2011 et 2012

  • Kunming Normal University(China), 1 semaine en 2011

  • Kalamazoo College (USA), 1 semaine en  2011 et 2012

  • Nankai University, Tianjin (Chine), 1 semaine en 2012

Particpation à des jury's de thèse

  • B. Addallah, Katholieke Universiteit Leuven, 2001,T. Lusala, Technische Universität Berlin, 2002,

  • C. Rodriguez Montealegre, Subvariedades Lagrangianas en espacios complejos modelo, Universidad de Jaen, 2002,
  • T. Binder, Technische Universit¨at Berlin, Two Codazzi problems for relative surfaces, 2002,
  • G. Verbouwe, Cubic form theory, Katholieke Universiteit Leuven, 2003,
  • W. Sodsiri, Ruled surfaces of Weingarten type, Katholieke Universiteit Leuven, 2005,
  • A. Niang, Sur quelques problèmes en géométrie affine et en géométrie semi-Riemannienne, Université de Montpellier, 2005,
  • J. Vanderveken, Submanifolds, Katholieke Universiteit Leuven, 2007,
  • J. Fastenakels, Study of invariants of Riemannian submanifolds, Katholieke Universiteit, Leuven, 2008,
  • S. Verpoort, The geometry of the second fundamental form: curvature properties and variational aspects, Katholieke Universiteit Leuven, 2008,
  • W. Goemans, Surfaces in three dimensional Euclidean and Minkowski space, in particular a study of Weingarten surfaces, 2010,
  • D. Kowlaczyk, Submanifolds of product spaces, Katholieke Universiteit Leuven, 2011
  • A.I. Nistor, Contributions to the Differential Geometry of Curves and Surfaces in 3-dimensional manifolds, Katholieke Universiteit Leuven, 2012
  • H. Hmili; Echanges d'intervalles d'équations cohomologiques et distributions invariantes, Université de Valenciennes, 2012

Exposés à des universités étrangères

  • Submanifolds of the nearly Kaehler 6-sphere, Universidad de Granada, 1987

  • Pinching theorems for minimal submanifolds of spheres, University of Durham, 1987

  • On minimal immersions of $RP^2$ into $CP^n$ with a small number of singularities,
    Universidad de Granada, 1989

  • Some recent results in affine differential geometry, Universidad de Granada, 1989
    On minimal surfaces in the nearly K\"ahler $S^6

  • Affine Differential Geometry of surfaces in $\Bbb R^3$ and $\Bbb R^4$, Technische Universit\"at Berlin, 1992

  • An equiaffine theory for affine surfaces, University of North Carolina at Chapel Hill, 1993

  • Affine Differential Geometry of Surfaces, Colloquium Brown University, 1994

  • An introduction to affine differential geometry, University of Connecticut (Etats Unis), 1995

  • A basic equality for Lagrangian submanifolds, Michigan State University, 1995

  • Three dimensional Lagrangian submanifolds in $S^6$, Universidad de Granada, 1996

  • Projectively flat surfacesin $\Bbb R^3$, Universidad de Granada, 1996

  • Three dimensional Lagrangian submanifolds of $\Bbb CP^3$, Universidad de Jaen, 1996

  • Lagrangian submanifolds of $S^6$ satisfying Chen's equality, University of Connecticut, 1996

  • Affine hyperspheres with constant affine sectional curvature, Universidad de Granada, 1997

  • Lagrangian submanifolds of the complex projective space Michigan State University, 1997

  • Affine Hyperspheres with constant sectional curvature, Technische Universit\"at Berlin, 1997

  • 3-dimensional affine hyperspheres satisfying a basic equality, Technische Universit\"at Berlin, 1997

  • CR-Submanifolds of complex hyperbolic spaces, Universidad de Granada, 1998

  • The Magid-Ryan conjecture for Lorentzian affine hypersurfaces, Fairfield University, USA, 1998

  • Minimal lagrangian immersions of real lorentzian space forms in complex lorentzian space forms, Michigan State University, 1998

  • Spezielle Loesungen von dreidimensionalen Monge-Ampere gleichungen, Technische Universität Berlin, 2000

  • The Nomizu problem, Technische Universit\"at Berlin, 2000

  • Affine hyperspheres with constant sectional curvature, Max Planck Institut und Universit\"at Leipzig, 2000

  • Sequences of minimal surfaces in $S^5(1)$ with ellipse of curvature not a circle, Technische Universit\"at Berlin, Juin 2002

  • Submanifolds of the nearly Kaehler 6-sphere $S^6(1)$, Séminaire Tokyo Metropolitan University, Juillet 2000

  • The Magid-Ryan conjecture for affine hyperspheres, Colloque Hokkaido University, Juillet 2003

  • Affine hypersurfaces with symmetries,Séminaire Hokkaido University, Juillet 2003

  • Lagrangian submanifolds of the nearly Kaehler 6-sphere $S^6(1)$, Séminaire University of Belgrade (Servie), Octobre 2003

  • Symmetry properties of sequences of minimal surfaces, part I, Séminaire Katholieke Universiteit Leuven, Février 2004

  • Symmetry properties of sequences of minimal surfaces, part II, Séminaire Katholieke Universiteit Leuven, Mars 2004

  • The center map of an equiaffine immersion, Technische Universität Berlin, Mai 2004

  • Sequences of minimal surfaces in $S^5(1)$, Durham University, Juin 2004

  • An elementary problem in linear algebra, Université de Belgrade, Septembre 2004

  • Minimal surfaces in $S^5(1)$ appear in sequences, Université de Cracovie (Pologne), Octobre 2004

  • CR-Submanifolds of $S^6(1)$ with 1-dimensional nullity, Conference Contemporary Geometry and Related
    Topics, Belgrade, Juin 2005

  • Parabolic affine hyperspheres which are the graph of a homogeneous function, Technische Universit\"at Berlin, Aout 2005
     

  • Lagrangian submanifolds realizing an equality between intrinsic and extrinsic invariants, Technische Universität Berlin, Juillet 2006

  • Lagrangian submanifolds realising equality in a basic inequality, colloque Tsinghua University, Octobre 2007

  • A decomposition theorem for affine hyperspheres, colloque Beijing University, Octobre 2007

  • Durham University (Angleterre), Janvier 2008,  « Parallel hyperbolic affine hyperspheres »

  • Universidad de Granada (Espagne), Mai 2008, « Lagrangian submanifolds realising equality in a basic inequality

  • Tsinghua University (Chine), Septembre 2008,  « Lagrangian submanifolds of complex projective space »

  • Universidad de Granada, Avril 2009, « Minimal surfaces in odd dimensional spheres » et « Hyperbolic affine spheres with parallel difference tensor »
  • Zhengzhou University, Septembre 2009, « Construction of minimal surfaces »
  • Universidad de Granada, Juillet 2010, « Lagrangian (and affine) immersions for which suitable tensors are isotropic »
  • Technische Universität Berlin (Allemagne), Février 2011, « Affine hypersurfaces with parallel cubic form » et « The nearly Kaehler structure on S^3xS^3, »
  • Université de Nancy, Février 2011, « Les hypersurfaces affines parallèles »
  • Michigan State University (Etats-Unis), Avril 2011, « Isotropic affine hypersurfaces »
  • KunmingUniversity (Chine), Mai 2011, «The 4 vertex problem » et «  An introduction to affine differential geometry and Lagrangian submanifolds »
  • Zhengzhou University (Chine), Mai 2011, « The Magid-Ryan conjecture »
  • Tsinghua University (Chine), Mai 2011,  « Submanifolds realising equality in Chen's inequality »
  • Kalamazoo College (Etats Unis), Avril 2012, « The four vertex theorem »
  •  Tsinghua University (Chine), Mai 2012, « The nearly kaehler structure on S3xS3»
  • Universidad de Granada (Espagne), Juin 2012, « Almost complex surfaces in the nearly Kaehler  S3xS3»
  • King's college (Londres, Royaume Unie), Décembre 2012, « Almost complex surfaces in the nearly Kaehler  S3xS3»

Exposés pendant  des congrès internationaux

  • Submanifolds of the nearly Kähler 6-sphere, Géoométrie et Topologie des Sous-variétés, Luminy (France), 1987

  • On minimal surfaces in the nearly Kähler S6, Workshop on Surfaces, Submanifolds and their Applications, Leeds (Angleterre), 1990

  • Some special surfaces in Affine Differential Geometry, Global Differential Geometry and Global Analysis, Berlin (Allemagne), 1990

  • Affine hypersurfaces with constant sectional curvature, Affine Differential Geometry, Oberwolfach (Allemagne), 1991

  • On 3-dimensional affine hypersurfaces, Differential Geometry and Vision and the Theory of Submanifolds, Leuven and Brussels (Belgique) 1992

  • An equiaffine theory for surfaces in R4 ,Géométrie et Topologie des Sous-variétés, Luminy (France) 1993

  • A survey on affine differential geometry, Differential Geometry and Vision and the Theory of Submanifolds, Leuven and Brussels (Belgique), 1993

  • Geodesics in affine differential geometry, Differential Geometry, Conference in honour of Professor Katsumi Nomizu on the occasion of his seventieth birthday, Leuven and Brussels (Belgique), 1994

  • Minimal submanifolds of spheres, Pure, applicable and applied differential geometry, Nordfjordeid (Norvège), 1995

  • Lorentzian affine hyperspheres with constant affine sectional curvature, Workshop on Submanifold Theory, Leuven (Belgique), 1997

  • Special classes of 3-dimensional Lagrangian submanifolds in CP3,International Conference on Differential Geometry and Quantum Physics, Technische Universität Berlin, 2000

  • The Magid-Ryan conjecture for affine hyperspheres, Workshop ”PDEs, Submanifolds and Affine Differential Geometry 2000”, September, 2000, Banach Center, Warsaw, Poland.

  • Special affine hyperspheres according to the cubic form theory introduced by Bryant Workshop ”PDEs and Submanifolds”, TUBerlin, December, 2000

  • A duality theorem for minimal surfaces in S5(1), Workshop ”Contemporary Geometry and related topics”, Belgrade, Serbie, Mai, 2002

  • 3-dimensional affine hypersurfaces admitting certain symmetries, Workshop ”PDEs and Submanifolds”, TUBerlin, Octobre, 2002

  • Sequences of minimal surfaces in spheres, Workshop on Geometry, Kobe University, Juillet 2003

  • Sequences of Minimal Surfaces in S5(1), Workshop PDEs, Submanifolds and Affine Differential Geometry, Septembre 2003, Banach Center (Pologne)

  • Lagrangian immersions in complex projective space with smallest possible mean curvature, Yorkshire and Durham Geometry Days, University of Durham, Janvier 2007

  • Hyperbolic affine spheres with parallel difference tensor, Banach Center, Bedlewo,Pologne, Mai 2008

  • Minimal surfaces in odd dimensional spheres, Riemannian Geometry and Applications, RIGA 2008, Brasov, Roumanie, Juillet 2008

  • Minimal surfaces in spheres: Simon’s conjecture, Colloquium in honor of the 70th birthay of U. Simon, T.U. Berlin, Allemagne, Septembre 2008

  • Parallel affine hypersurfaces, Workshop in Differential Geometry, Kunming Normal University, Kunming, Chine, Septembre 2008

  • Almost complex curves in the nearly Kaehler S3   x S3, XVII Geometrical Seminar, Zlatibor, Serbie,  Septembre 2012,