| 单位圆周上同胚映射的逆扩张 |
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| 引用本文： | 李淑龙,刘学文. 单位圆周上同胚映射的逆扩张[J]. 中山大学学报(自然科学版), 2012, 51(3): 52-54,59 |
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| 作者姓名： | 李淑龙 刘学文 |
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| 作者单位： | 1. 南方医科大学生物医学工程学院,广东广州,510515
2. 深圳西乡中学新高中部,广东深圳,518102 |
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| 基金项目： | 国家自然科学基金面上资助项目(10871211) |
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| 摘 要： | 在Douady Earle扩张基础上定义了单位圆周之间同胚映射的新共形自然扩张即逆扩张，并用一个反例证明了逆扩张不同于Douady Earle扩张。
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| 关 键 词： | Douady-Earle扩张 逆扩张 拟共形映射 |
| 收稿时间： | 2011-09-16; |
The Inverse Extension of the Homeomorphism Between Unit Circles |
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| LI Shulong , LIU Xuewen. The Inverse Extension of the Homeomorphism Between Unit Circles[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2012, 51(3): 52-54,59 |
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| Authors: | LI Shulong LIU Xuewen |
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| Affiliation: | 1.School of Biomedical Engineering,Southern Medical University,Guangzhou 510515,China; 2.Shenzhen Xi Xiang Middle School,Shenzhen 518102,China) |
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| Abstract: | Based on Douady-Earle extension of homeomorphism from S1 to S1,a new extension map between unit discs called inverse extension is defined,which is conformal natural.And the inverse extension is shown not always to be equal to Douady-Earle extension by an example. |
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| Keywords: | Douady-Earle extension inverse extension quasi-conformal mapping |
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