| R~n中CQH同胚映射的特征 |
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| 引用本文： | 黄曼子.R~n中CQH同胚映射的特征[J].数学年刊A辑(中文版),2011,32(5):613-626. |
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| 作者姓名： | 黄曼子 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院; |
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| 基金项目： | 国家自然科学基金(No.11071063)资助的项目 |
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| 摘 要： | 作为拟共形映射的推广,Visl引入了CQH同胚映射的概念.作者利用拟近测地线和固态弧,得到了CQH同胚映射的一个特征.此结果说明Visl提出的相关猜测在R~n中的答案是肯定的.
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| 关 键 词： | 拟共形映射 CQH同胚映射 拟近测地线 拟凸性 固态弧 |
A Characterization of CQH Homeomorphisms in R~n |
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| HUANG Manzi.A Characterization of CQH Homeomorphisms in R~n[J].Chinese Annals of Mathematics,2011,32(5):613-626. |
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| Authors: | HUANG Manzi |
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| Institution: | HUANG Manzi~1 1 Colledge of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China. |
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| Abstract: | As a generalization of quasiconformal mappings, V\"ais\"al\"a introduced CQH homeomorphisms. The author obtains
a characterization
for this class of homeomorphisms in $\mathbb{R}^n$ in terms of neargeodesics and solid arcs.
This result shows that the answer to a conjecture presented recently
by V\"{a}is\"{a}l\"{a} is affirmative in $\mathbb{R}^n$. |
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| Keywords: | Quasiconformal mapping CQH homeomorphism Neargeodesic Quasiconvexity Solid arc |
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