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关于Hopf丛S3的几个论题
引用本文:葛玉凤.关于Hopf丛S3的几个论题[J].数学季刊,2002,17(1):103-110.
作者姓名:葛玉凤
作者单位:盐城工学院基础部 江苏盐城224003
摘    要:本文证明了Hopf主纤维丛S^3的几个相关的命题,指出底流形S^3上的Laplace算子在主丛上的提升是主丛S^3上的Laplace算子,以及主丛的嵌入截面具有不动点性质等。

关 键 词:Hopf丛  提升  联络

On Several Propositions of Hopf Bundle S3
GE Yu-feng.On Several Propositions of Hopf Bundle S3[J].Chinese Quarterly Journal of Mathematics,2002,17(1):103-110.
Authors:GE Yu-feng
Abstract:The author gives out the testification of several relevant propositions of Hopf main fibre S 3; and points out that the lifting on the main bundle of Laplace operator in the base manifold S 2 is the Laplace operator in the main fibre bundle S 3 and that the embedding surface of main bundle has such properties as having fixed point, etc.
Keywords:Hopf bundle  lifting  connection
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