Conformal mappings and CR mappings on the Engel group

Conformal mappings and CR mappings on the Engel group
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恩格尔群上的共形映射和 CR 映射

DOI:
10.1007/s11425-009-0177-5
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发表时间:
2009-12-01
期刊:
SCIENCE IN CHINA SERIES A-MATHEMATICS
影响因子:
--
通讯作者:
Wang Wei
Wang Wei
中科院分区:
其他
文献类型:
--
作者:
Wu QingYan;Wang Wei

文献摘要

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我们证明恩格尔群之间的共形映射是 CR 或反 CR 映射。这将共形映射的确定简化为多个复杂分析理论中的问题。 CR 自同构群的结果用于确定恩格尔群上的共角映射群的恒等分量。
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.