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文章基本信息

  • 标题:Equivalence of the Apollonian and Its Inner Metric
  • 本地全文:下载
  • 作者:Peter Hästö ; S. Ponnusamy ; S. K. Sahoo
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/191858
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We show that the equivalence of the Apollonian metric and its inner metric remains unchanged by the removal of a point from the domain. For this we need to assume that the complement of the domain is not contained in a hyperplane. This improves a result of the authors wherein the same conclusion was reached under the stronger assumption that the domain contains an exterior point.
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