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.
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页码：7829 / 7860
页数：32
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