Umbilic points and Real hyperquadrics

Details Umbilic points and Real hyperquadrics Umbilic points and Real hyperquadrics

1999-02-04

arxiv.org/abs/math/9902035v1

Mathematics

Complex Variables

Scientific paper

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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