Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics

M. S. Baouendi; Peter Ebenfelt; Xiaojun Huang

doi:10.1016/j.aim.2008.07.001

Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics

M. S. Baouendi, Peter Ebenfelt, Xiaojun Huang

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We consider holomorphic mappings sending a given Levi-nondegenerate pseudoconcave hypersurface M in C^{n + 1} into a nondegenerate hyperquadric of the same signature in PC^{N + 1} and show that if M is sufficiently close to a hyperquadric in a certain sense, then any two such mappings differ only by an automorphism of the hyperquadric.

Original language	English (US)
Pages (from-to)	1427-1445
Number of pages	19
Journal	Advances in Mathematics
Volume	219
Issue number	5
DOIs	https://doi.org/10.1016/j.aim.2008.07.001
State	Published - Dec 1 2008

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Holomorphic mapping
Hyperquadric
Levi-nondegenerate
Projective space
Signature

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KW - Projective space

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