no. 15-16
Complex Analysis/Mathematical Analysis
Effective Cartan–Tanaka connections for C6-smooth strongly pseudoconvex hypersurfaces M3⊂C2
[Connections de Cartan–Tanaka effectives pour les hypersurfaces strictement pseudoconvexes M3⊂C2 de classe C6]
Présenté par : Jean-Pierre Demailly
Aghasi, Mansour1 ; Merker, Joël2 ; Sabzevari, Masoud1
1 Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran
2 Département de mathématiques dʼOrsay, bâtiment 425, faculté des sciences, 91405 Orsay cedex, France
Comptes Rendus. Mathématique, Tome 349 (2011) no. 15-16, pp. 845-848

Explicit Cartan–Tanaka curvatures, the vanishing of which characterizes sphericity, are provided in terms of the 6-th order jet of a graphing function for a C6 strongly pseudoconvex hypersurface M3⊂C2.

Des courbures de Cartan–Tanaka explicites, dont lʼannulation identique caractérise la sphéricité, sont fournies en termes du jet dʼordre 6 dʼune fonction graphante pour une hypersurface M3⊂C2 de classe C6 strictement pseudoconvexe.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.07.020

Aghasi, Mansour 1 ; Merker, Joël 2 ; Sabzevari, Masoud 1

1 Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran
2 Département de mathématiques dʼOrsay, bâtiment 425, faculté des sciences, 91405 Orsay cedex, France 
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Aghasi, Mansour; Merker, Joël; Sabzevari, Masoud. Effective Cartan–Tanaka connections for $ {\mathcal{C}}^{6}$-smooth strongly pseudoconvex hypersurfaces $ {M}^{3}\subset {\mathbb{C}}^{2}$. Comptes Rendus. Mathématique, Tome 349 (2011) no. 15-16, pp. 845-848. doi: 10.1016/j.crma.2011.07.020

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