1-Quasiconformal Mappings and CR Mappings on Goursat Groups
We show that 1-quasiconformal mappings on Goursat groups are CR or anti-CR mappings. This can reduce the determination of 1-quasiconformal mappings to the determination of CR automorphisms of CR manifolds, which is a fundamental problem in the theory of several complex variables.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/930571 |
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| _version_ | 1832563030312878080 |
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| author | Qing Yan Wu Zun Wei Fu |
| author_facet | Qing Yan Wu Zun Wei Fu |
| author_sort | Qing Yan Wu |
| collection | DOAJ |
| description | We show that 1-quasiconformal mappings on Goursat groups are CR or anti-CR mappings. This can reduce the determination of 1-quasiconformal mappings to the determination of CR automorphisms of CR manifolds, which is a fundamental problem in the theory of several complex variables. |
| format | Article |
| id | doaj-art-821e5cb55b9d499c9d0425a9a24f8b1a |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-821e5cb55b9d499c9d0425a9a24f8b1a2025-02-03T01:21:09ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/9305719305711-Quasiconformal Mappings and CR Mappings on Goursat GroupsQing Yan Wu0Zun Wei Fu1Department of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaWe show that 1-quasiconformal mappings on Goursat groups are CR or anti-CR mappings. This can reduce the determination of 1-quasiconformal mappings to the determination of CR automorphisms of CR manifolds, which is a fundamental problem in the theory of several complex variables.http://dx.doi.org/10.1155/2014/930571 |
| spellingShingle | Qing Yan Wu Zun Wei Fu 1-Quasiconformal Mappings and CR Mappings on Goursat Groups The Scientific World Journal |
| title | 1-Quasiconformal Mappings and CR Mappings on Goursat Groups |
| title_full | 1-Quasiconformal Mappings and CR Mappings on Goursat Groups |
| title_fullStr | 1-Quasiconformal Mappings and CR Mappings on Goursat Groups |
| title_full_unstemmed | 1-Quasiconformal Mappings and CR Mappings on Goursat Groups |
| title_short | 1-Quasiconformal Mappings and CR Mappings on Goursat Groups |
| title_sort | 1 quasiconformal mappings and cr mappings on goursat groups |
| url | http://dx.doi.org/10.1155/2014/930571 |
| work_keys_str_mv | AT qingyanwu 1quasiconformalmappingsandcrmappingsongoursatgroups AT zunweifu 1quasiconformalmappingsandcrmappingsongoursatgroups |