LOCAL AND INFINITESIMAL RIGIDITY OF HYPERSURFACE EMBEDDINGS

被引：5

作者：

Della Sala, Giuseppe ^{[1
,2
]}

Lamel, Bernhard ^{[1
]}

Reiter, Michael ^{[1
]}

机构：

[1] Univ Wien, Fak Math, Vienna, Austria

[2] Amer Univ Beirut, Dept Math, Beirut, Lebanon

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 11期

基金：

奥地利科学基金会;

关键词：

PROPER HOLOMORPHIC MAPS; REAL HYPERSURFACES; COMPLEX-SPACES; SUPER-RIGIDITY; CR EMBEDDINGS; HYPERQUADRICS; MAPPINGS; BALLS; LINEARITY; C-2;

D O I：

10.1090/tran/6885

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study local rigidity properties of holomorphic embeddings of real hypersurfaces in C-2 into real hypersurfaces in C-3 and show that infinitesimal conditions imply actual local rigidity in a number of (important) cases. We use this to show that generic embeddings into a hyperquadric in C-3 are locally rigid.

引用

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页码：7829 / 7860

页数：32

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