1-quasiconformal mappings on a (2,2)-type quadric

被引：1

作者：

Wu Qing-yan ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2009年 / 24卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Beltrami equation; quasiconformal mapping; quadric; CR automorphism; QUASI-CONFORMAL MAPPINGS; HEISENBERG-GROUP; CARNOT GROUPS; METRICS; SPACES;

D O I：

10.1007/s11766-009-1946-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gets the Beltrami equations satisfied by a 1-quasiconformal mapping, which are exactly CR or anti-CR equations on (2,2)-type quadric Q (0). This means a 1-quasiconformal mapping on Q (0) is CR or anti-CR. This reduces the determination of 1-quasiconformal mappings to a problem on the theory of several complex analysis. The result about the group of CR automorphisms is used to determine the unit component of group of 1-quasiconformal mappings.

引用

页码：65 / 75

页数：11

共 18 条

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