On stability of CR-mappings between nilpotent lie groups of step two

被引：4
|
作者：
Wang, W. [1 ]
机构：
[1] Zhejiang Univ, Zhejiang, Peoples R China
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2007年 / 48卷 / 03期
基金：
中国国家自然科学基金;
关键词：
quasi-CR-mappings; Beltrami-type system; stability of CR-mappings; integral representation formula;
D O I：
10.1007/s11202-007-0044-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A quasi-CR-mapping from a nilpotent Lie group N-b, of step two to another such group satisfies a Beltrami-type system of partial differential equations which is usually not elliptic but subelliptic when the group N-b is strongly 2-pseudoconcave. We derive an integral representation formula for CR-mappings from a strongly 2-pseudoconcave nilpotent Lie group of step two to another such group and establish the Wilder continuity of epsilon-quasi-CR-mappings and the stability of CR-mappings between such groups.
引用
收藏
页码：408 / 427
页数：20
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