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Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes

Emmanuel Opshtein
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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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Emmanuel Opshtein. 2005-04-04. Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes. https://arxiv.org/abs/math/0504054

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