English

Normal forms of real hyepersurfaces with nondegenerate Levi form

Complex Variables 2007-05-23 v1 Classical Analysis and ODEs

Abstract

We present a proof of the existence and uniqueness theorem of a normalizing biholomorphic mapping to Chern-Moser normal form. The explicit form of the equation of a chain on a real hyperquadric is obtained. We show a family of normal forms of nondegenerate real hypersurfaces including Chern-Moser normal form.

Keywords

Cite

@article{arxiv.math/9902034,
  title  = {Normal forms of real hyepersurfaces with nondegenerate Levi form},
  author = {Won K. Park},
  journal= {arXiv preprint arXiv:math/9902034},
  year   = {2007}
}