• Corpus ID: 117952068

Umbilic points and Real hyperquadrics

@article{Park1999UmbilicPA,
  title={Umbilic points and Real hyperquadrics},
  author={Won K. Park},
  journal={arXiv: Complex Variables},
  year={1999}
}
  • Won K. Park
  • Published 4 February 1999
  • Mathematics
  • arXiv: Complex Variables
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. 

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