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R~n中CQH同胚映射的特征
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O174.51[理学—数学;理学—基础数学]
  • 作者机构：[1]湖南师范大学数学与计算机科学学院,长沙410081
  • 相关基金：国家自然科学基金（No.11071063）资助的项目
作者： 黄曼子[1]
关键词： 拟共形映射, CQH同胚映射, 拟近测地线, 拟凸性, 固态弧, Quasiconformal mapping, CQH homeomorphism, Neargeodesic, Quasiconvexity, Solid arc
中文摘要：

作为拟共形映射的推广,Visl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isl提出的相关猜测在R~n中的答案是肯定的.

英文摘要：

As a generalization of quasiconformal mappings,Visl introduced CQH home-omorphisms. The author obtains a characterization for this class of homeomorphisms in R~n in terms of neargeodesics and solid arcs.This result shows that the answer to a conjecture presented recently by Visl is affirmative in R~n.

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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
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  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264