Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes

2005/04/04 by Emmanuel Opshtein, Opshtein, Emmanuel
Mathematics · #32T15 #32V15 #37F25 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Holomorphic and Operator Theory #math.CV #msc:32T15 #msc:32V15 #msc:37F25

paper · pdf · doi:10.48550/arxiv.math/0504054

16 pages, 3 figures, Francais

arxiv created 2005/04/04 · openalex publication_date 2005/04/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a proof of the characterization of spherical hypersurfaces as the only strictly pseudoconvex hypersurfaces which have contracting germs of diffeomorphisms. Unlike previous proofs, our approach does not use Chern-Moser theory. It only relies on Pinchuk dilation techniques. We also give some applications of this result.

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