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

作　　者：WU Qing-yan 

机构地区：[1]Dept. of Math., Zhejiang Univ., Hangzhou 310027, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2009年第1期65-75,共11页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10571155)

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 Q0. This means a 1-quasiconformal mapping on Q0 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.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 Q0. This means a 1-quasiconformal mapping on Q0 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.

关 键 词：Beltrami equation quasiconformal mapping QUADRIC CR automorphism 

分 类 号：O174.55[理学—数学] O122.2[理学—基础数学]