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

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Abstract

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 Q 0. This means a 1-quasiconformal mapping on Q 0 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.

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Authors and Affiliations

  1. Dept. of Math., Zhejiang Univ., Hangzhou, 310027, China

    Qing-yan Wu

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  1. Qing-yan Wu
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Correspondence to Qing-yan Wu.

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

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Wu, Qy. 1-quasiconformal mappings on a (2,2)-type quadric. Appl. Math. J. Chin. Univ. 24, 65–75 (2009). https://doi.org/10.1007/s11766-009-1946-1

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  • DOI: https://doi.org/10.1007/s11766-009-1946-1

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