Sufficient and necessary conditions for local rigidity of CR mappings and higher order infinitesimal deformations

被引：3
|
作者：
della Sala, Giuseppe [1 ]
Lamel, Bernhard [2 ]
Reiter, Michael [2 ]
机构：
[1] Amer Univ Beirut, Dept Math, Beirut, Lebanon
[2] Univ Wien, Fak Math, Vienna, Austria
来源：
ARKIV FOR MATEMATIK | 2020年 / 58卷 / 02期
基金：
奥地利科学基金会;
关键词：
LIE GROUP STRUCTURES; HOLOMORPHIC MAPPINGS; AUTOMORPHISM-GROUPS; COMPLEX-SPACES; SUPER-RIGIDITY; MAPS; EQUIVALENCE; STABILITY; HYPERQUADRICS; HYPERSURFACES;
D O I：
10.4310/ARKIV.2020.v58.n2.a1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we continue our study of local rigidity for maps of CR submanifolds of the complex space. We provide a linear sufficient condition for local rigidity of finitely nondegenerate maps between minimal CR manifolds. Furthermore, we show higher order infinitesimal conditions can be used to give a characterization of local rigidity.
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页码：213 / 242
页数：30
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