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  • 标题:A Stability Property of Mean Curvature Vectors of Codimension-One Foliations
  • 本地全文:下载
  • 作者:Gen-ichi OSHIKIRI
  • 期刊名称:Interdisciplinary Information Sciences
  • 印刷版ISSN:1340-9050
  • 电子版ISSN:1347-6157
  • 出版年度:2011
  • 卷号:17
  • 期号:1
  • 页码:45-48
  • DOI:10.4036/iis.2011.45
  • 出版社:The Editorial Committee of the Interdisciplinary Information Sciences
  • 摘要:

    In this paper, we show a stability property of mean curvature vector fields of codimension-one foliations with respect to small perturbations of the given codimension-one foliation. This is an extended form of D. Sullivan’s result: If a codimension-one foliation is geometrically taut then any foliation sufficiently close to the foliation is also geometrically taut.

  • 关键词:Codimension-one foliation; mean curvature; stability
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