Rigid spherical hypersurfaces in C2

Authors

  • Abdelaziz Chaouech Université Abdelmalek Essaâdi.

DOI:

https://doi.org/10.4067/S0716-09172001000200005

Abstract

In this paper we describe explicitly one class of real-analytic hypersurfaces in C2 rigid and spherical at the origin.

Author Biography

Abdelaziz Chaouech, Université Abdelmalek Essaâdi.

Faculté des Sciences, Département de Mathématiques & Informatiques.

References

[1] E. Cartan., sur la géometrie pseudo-conforme des hypersurfaces de l’espace de deux variables complexes. Part I. Ann. Mat. 11, 17-90 (1932); or oeuvres complètes, vol.II, pp. 1231-1304. Paris: Gauthiers-Villars, (1953).

[2] A. Chaouech., Auto-applications holomorphes propres des domaines polynômiaux rigides de C2. Publicacions Matemàtiques, Vol.40, N1, pp. 41-66, (1996).

[3] B. Coupet and A. Sukhov., Rigidity of algebraic CR structures and regularity of CR mappings, Preprint.

[4] A. Isaev., Rigid spherical hypersurfaces. Complex variables 31, pp. 141-163, (1996).

[5] N. Stanton., A normal form for rigid hypersurfaces in C2. American Journal of Mathematics 113, pp. 877-910, (1991).

[6] N. Stanton., Infinitesimal CR automorphisms of rigid hypersurfaces in C2. Journal of geometric analysis, Vol. 1, N. 3, pp. 231-267, (1991).

Published

2017-04-24

How to Cite

[1]
A. Chaouech, “Rigid spherical hypersurfaces in C2”, Proyecciones (Antofagasta, On line), vol. 20, no. 2, pp. 205-216, Apr. 2017.

Issue

Section

Artículos