Umbilic points and Real hyperquadrics
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We show a refined version of the existence and uniqueness theorem to Chern-Moser normal form. The class of nondegenerate real hypersurfaces in normal form has a natural group action. Umbilic point is defined via normal form. Nondegenerate analytic real hypersurfaces are locally biholomorphic to a real hyperquadric whenever every point is umbilic in this sense.
Cite
@article{arxiv.math/9902035,
title = {Umbilic points and Real hyperquadrics},
author = {Won K. Park},
journal= {arXiv preprint arXiv:math/9902035},
year = {2007}
}