Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics

被引：23

作者：

Baouendi, M. S. ^{[1
]}

Ebenfelt, Peter ^{[1
]}

Huang, Xiaojun ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

来源：

ADVANCES IN MATHEMATICS | 2008年 / 219卷 / 05期

基金：

美国国家科学基金会;

关键词：

Holomorphic mapping; Hyperquadric; Levi-nondegenerate; Signature; Projective space;

D O I：

10.1016/j.aim.2008.07.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider holomorphic mappings sending a given Levi-nondegenerate pseudoconcave hypersurface M in Cn+1 into a nondegenerate hyperquadric of the same signature in PCN+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. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：1427 / 1445

页数：19

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