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arXiv math/0504054math.CV

Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes

Emmanuel Opshtein

英文摘要:

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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