| 1-quasiconformal mappings on a （2,2）-type quadric |
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| 引用本文： | WU,Qing-yan. 1-quasiconformal mappings on a （2,2）-type quadric[J]. 高校应用数学学报(英文版), 2009, 24(1): 65-75. DOI: 10.1007/s11766-009-1946-1 |
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| 作者姓名： | WU Qing-yan |
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| 作者单位： | Dept. of Math., Zhejiang Univ., Hangzhou 310027, China |
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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.
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| 关 键 词： | 拟共形映射 方程 CR |
1-quasiconformal mappings on a (2,2)-type quadric |
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| Qing-yan Wu. 1-quasiconformal mappings on a (2,2)-type quadric[J]. Applied Mathematics A Journal of Chinese Universities, 2009, 24(1): 65-75. DOI: 10.1007/s11766-009-1946-1 |
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| Authors: | Qing-yan Wu |
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| Affiliation: | Dept. of Math., Zhejiang Univ., Hangzhou 310027, China |
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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 Q0- This means a 1-quasiconformal mapping on Qo 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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| Keywords: | Beltrami equation quasiconformal mapping quadric CR automorphism |
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