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

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

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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.

作者 WU Qing-yan

机构地区 Dept. of Math.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 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)

关键词 Beltrami equation quasiconformal mapping QUADRIC CR automorphism Beltrami equation quasiconformal mapping quadric CR automorphism

分类号 O174.55 [理学—基础数学] O122.2 [理学—基础数学]

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参考文献1

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共引文献2

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同被引文献23

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引证文献1

1WU QingYan,WANG Wei.Conformal mappings and CR mappings on the Engel group[J].Science China Mathematics,2009,52(12):2759-2773.

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Applied Mathematics(A Journal of Chinese Universities)

2009年第1期

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