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Conformal mappings and CR mappings on the Engel group

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    QingYan Wu & Wei Wang

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  1. QingYan Wu
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  2. Wei Wang
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Correspondence to Wei Wang.

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Dedicated to Professor ZHONG TongDe on the occasion of his 80th birthday

This work was supported by National Natural Science Foundation of China (Grant No. 10871172)

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Wu, Q., Wang, W. Conformal mappings and CR mappings on the Engel group. Sci. China Ser. A-Math. 52, 2759–2773 (2009). https://doi.org/10.1007/s11425-009-0177-5

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  • DOI: https://doi.org/10.1007/s11425-009-0177-5

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