Normal forms of real hyepersurfaces with nondegenerate Levi form

1999/02/04 by Won K. Park, Park, Won K.
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CA #math.CV #msc:32H99

paper · pdf · doi:10.48550/arxiv.math/9902034

arxiv created 1999/02/04 · arxiv updated 2009/11/30

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.

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