| 黄曼子.R~n中CQH同胚映射的特征[J].数学年刊A辑,2011,32(5):613~626 |
| R~n中CQH同胚映射的特征 |
| A Characterization of CQH Homeomorphisms in R~n |
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| DOI： |
| 中文关键词: 拟共形映射 CQH同胚映射 拟近测地线 拟凸性 固态弧 |
| 英文关键词:Quasiconformal mapping CQH homeomorphism Neargeodesic Quasiconvexity Solid arc |
| 基金项目:国家自然科学基金(No.11071063)资助的项目 |
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| 中文摘要: |
| 作为拟共形映射的推广, V\"{a}is\"{a}l\"{a}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V\"{a}is\"{a}l\"{a}提出的相关猜测在$\mathbb{R}^{n}$中的答案是肯定的. |
| 英文摘要: |
| 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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