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

页码：408 / 427

页数：20

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