| 拟共形映照和线性局部连通集 |
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| 引用本文： | 方爱农,褚玉明,程金发.拟共形映照和线性局部连通集[J].数学学报,1996,39(1):45-49. |
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| 作者姓名： | 方爱农 褚玉明 程金发 |
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| 作者单位： | 上海交通大学数学系!上海200030(方爱农，程金发)，湖南师范大学数学系!长沙410081(褚玉明) |
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| 基金项目： | 国家自然科学基金，天元基金，上海交大基金资助项目． |
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| 摘 要： | 本文证明了Ｒｎ中线性局部连通集定义中的两个性质分别在保持无穷远点不变的拟共形映照下是不变的，并且指出保持无穷远点不变的条件是必不可少的．反过来，设ｆ是Ｒｎ上的同胚，ｆ（ ）＝ ，若线性局部连通集定义中的任意一条性质在ｆ下不变，则ｆ必是拟共形映照．
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| 关 键 词： | 线性局部连通集 拟共形映照 拟圆 |
| 收稿时间： | 1994-1-21 |
Quasiconformal Mappings and Linearly Locally Connected Sets |
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| Fang Ainong,Chu Yuming,Cheng Jinfa.Quasiconformal Mappings and Linearly Locally Connected Sets[J].Acta Mathematica Sinica,1996,39(1):45-49. |
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| Authors: | Fang Ainong Chu Yuming Cheng Jinfa |
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| Institution: | Fang Ainong, Chu Yuming, Cheng Jinfa (Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China) |
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| Abstract: | In this paper, we proved that the two conditions of linearly locally connectivity are invariant respectively under quasiconformal mappings which fixed the infinity and pointed out the condition-of fixed the infinity is essential by giving an example. On the other hand, we proved the converse of above results are true also. |
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| Keywords: | linearly connected set quasiconformal mappings quasidisk |
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