Conformal mappings and CR mappings on the Engel group

Conformal mappings and CR mappings on the Engel group

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摘要 We show that conformal mappings between the Engel groups are CR or anti-CR mappings. This reduces the determination of conformal mappings to a problem in the theory of several complex analysis.The result about the group of CR automorphisms is used to determine the identity component of the group of conformal mappings on the Engel group. We show that conformal mappings between the Engel groups are CR or anti-CR mappings. This reduces the determination of conformal mappings to a problem in the theory of several complex analysis. The result about the group of CR automorphisms is used to determine the identity component of the group of conformal mappings on the Engel group.

作者 WU QingYan WANG Wei

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2009年第12期2759-2773,共15页 中国科学：数学（英文版）

基金 supported by National Natural Science Foundation of China(Grant No.10871172)

关键词 Engel group Beltrami equation quasiconformal mapping CR automorphism 32M05 32V05 Engel group Beltrami equation quasiconformal mapping CR automorphism

分类号 O174.55 [理学—基础数学]

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参考文献24

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共引文献2

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Conformal mappings and CR mappings on the Engel group

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