| Sasaki联络的推广 |
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| 引用本文： | 包开花.Sasaki联络的推广[J].湖北民族学院学报(哲学社会科学版),2012(3):256-259. |
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| 作者姓名： | 包开花 |
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| 作者单位： | 内蒙古民族大学 数学学院 |
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| 基金项目： | 霍英东基金项目(121003) |
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| 摘 要： | 讨论了由Shchepetilov定义的Sasaki联络,并对Sasaki联络进行了两种推广.在卷积空间上定义了类似Sasaki联络的联络并计算了各类曲率,证明了一些几何结果.
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| 关 键 词： | Sasaki联络 曲率 直和丛 |
The Generalized Sasaki Connection |
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| BAO Kai-hua.The Generalized Sasaki Connection[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2012(3):256-259. |
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| Authors: | BAO Kai-hua |
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| Institution: | BAO Kai-hua (College of Mathematics,Inner Mongolia University for Nationalities,Tongliao 028043,China) |
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| Abstract: | In this paper,the Sasaki connection defined by Shchepetilov is diucussed and two generalizations of this connection are given.Meanwhile,the similar Sasaki connection on warped product spaces is defined.All kinds of curvatures are calculated and some geometric results are proved. |
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| Keywords: | Sasaki connection curvature tangent bundle |
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