Normal forms of real hyepersurfaces with nondegenerate Levi form

Details Normal forms of real hyepersurfaces with nondegenerate Levi form Normal forms of real hyepersurfaces with nondegenerate Levi form

1999-02-04

arxiv.org/abs/math/9902034v1

Mathematics

Complex Variables

Scientific paper

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.

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