| 球面Sn+p(c)中子流形的拓扑 |
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| 引用本文： | 徐森林,宋冰玉.球面Sn+p(c)中子流形的拓扑[J].数学研究,2005,38(3):238-242. |
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| 作者姓名： | 徐森林 宋冰玉 |
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| 作者单位： | 华中师范大学数学系,湖北,武汉,430079 |
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| 基金项目： | Project supported by NNSFC (10371047) |
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| 摘 要： | 研究了球面Sn+p(c)子流形Mn的Pinching定理,证明了当s＜2√n-1c时,Mn(n＞3)与n维球面同胚.
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| 关 键 词： | 子流形 下同调群 庞加莱对偶 同胚 |
| 修稿时间： | 2004年7月30日 |
The Topology of Submanifolds in a Sphere Sn+p (c) |
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| Xu Senlin,Song Bingyu.The Topology of Submanifolds in a Sphere Sn+p (c)[J].Journal of Mathematical Study,2005,38(3):238-242. |
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| Authors: | Xu Senlin Song Bingyu |
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| Abstract: | In this paper, the Piniching Theorem of a submanifold M~n in a sphere S~(n+p)(c) with c>0 is considered. We prove that M~n (n>3) is homeomorphic to a sphere if s<2 1/2(n-1c). |
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| Keywords: | Submanifolds Homology group Homeomorphism Poincare duality |
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