Finiteness of infinitesimal deformations of Cr mappings of Cr manifolds of nondegenerate Levi form

被引：5

作者：

Cho, CK ^{[1
]}

Han, CK

机构：

[1] Soonchunhyang Univ, Dept Math, Asan 336745, Choongnam, South Korea

[2] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2002年 / 39卷 / 01期

关键词：

CR manifold; CR mapping; tangential Cauchy-Riemann equations; infinitesimal deformation; complete system;

D O I：

10.4134/JKMS.2002.39.1.091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M and N be CR manifolds with nondegenerate Levi forms of hypersurface type of dimension 2m + 1 and 2n + 1, respectively, where 1 less than or equal to m less than or equal to n. Let f : M --> N be a CR mapping; Under a generic assumption we construct a complete system of finite order for the infinitesimal deformations of f. In particular, we prove the space of infinitesimal deformations of f forms a finite dimensional Lie algebra.

引用

页码：91 / 102

页数：12

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