Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes

Details Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes

2005-04-04

arxiv.org/abs/math/0504054v1

Mathematics

Complex Variables

16 pages, 3 figures, Francais

Scientific paper

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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