Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes
Complex Variables
2007-05-23 v1
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.
Cite
@article{arxiv.math/0504054,
title = {Sphericite et contractibilite des hypersurfaces strictement pseudoconvexes},
author = {Emmanuel Opshtein},
journal= {arXiv preprint arXiv:math/0504054},
year = {2007}
}
Comments
16 pages, 3 figures, Francais