Rigid spherical hypersurfaces in C2
DOI:
https://doi.org/10.4067/S0716-09172001000200005Abstract
In this paper we describe explicitly one class of real-analytic hypersurfaces in C2 rigid and spherical at the origin.
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).
[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.
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