数学季刊 ›› 2003, Vol. 18 ›› Issue (4): 435-440.

• • 上一篇    

不动点集为L1(p)的对合

  

  1. 1．School of Sciences ,North China  University of  Technology ,Beijing  100041,China； 2．School of  Math- ematics and Statistics ,Hebei University of Economy and Trade ,Shijiazhuang 050063,China；3．Department  of Basic Courses ,Shijiazhuang Vocational Technology Institute ,Shijiazhuang 050081,China
  • 收稿日期:2003-01-15 出版日期:2003-12-30 发布日期:2024-04-03
  • 作者简介:LIU Xi-bo（1962－）,male ,native of Kangbao ,Hebei ,an associate professor of North China University of Technology ,Ph．D．,engages in topology；YAO Li（1960－）,male ,native of Jinzhou ,Liaoning ,an associate professor of He- bei University of Economy and T rade ,engages in topology；WANG Yu-su（1961－）,female ,native of Fengrun ,Hebei ,an as- sociate professor of Shijiazhuang Vocational Technology Institute ,engages in topology .

Involutions Fixing the Lens Spaces L1（p）

  1. 1．School of Sciences ,North China  University of  Technology ,Beijing  100041,China； 2．School of  Math- ematics and Statistics ,Hebei University of Economy and Trade ,Shijiazhuang 050063,China；3．Department  of Basic Courses ,Shijiazhuang Vocational Technology Institute ,Shijiazhuang 050081,China
  • Received:2003-01-15 Online:2003-12-30 Published:2024-04-03
  • About author:LIU Xi-bo（1962－）,male ,native of Kangbao ,Hebei ,an associate professor of North China University of Technology ,Ph．D．,engages in topology；YAO Li（1960－）,male ,native of Jinzhou ,Liaoning ,an associate professor of He- bei University of Economy and T rade ,engages in topology；WANG Yu-su（1961－）,female ,native of Fengrun ,Hebei ,an as- sociate professor of Shijiazhuang Vocational Technology Institute ,engages in topology .

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摘要： Let（M3＋k  ,T）be an involution on a closed manifold such that its fixed point set is L 1（p）.  In this paper ,we determine the existence of（M3＋k  ,T）and give the equivariant bordism classification of such involutions .

关键词: involution, Lens space, total Stiefel-Whitney class, bordism

Abstract: Let（M3＋k  ,T）be an involution on a closed manifold such that its fixed point set is L 1（p）.  In this paper ,we determine the existence of（M3＋k  ,T）and give the equivariant bordism classification of such involutions .

Key words: involution, Lens space, total Stiefel-Whitney class, bordism

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