| 子流形与拓扑球面定理 |
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| 引用本文： | 舒世昌,刘三阳. 子流形与拓扑球面定理[J]. 应用数学, 2004, 17(1): 73-77 |
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| 作者姓名： | 舒世昌 刘三阳 |
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| 作者单位： | 1. 西安电子科技大学应用数学系,西安,710071;咸阳师范学院数学系,咸阳,712000
2. 西安电子科技大学应用数学系,西安,710071 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina (6 9972 0 36 )，NSFofShaanxi(0 3JK2 1 5 ) |
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| 摘 要： | 本文建立了球面Sn p(c) (c>0 )中的完备子流形的一个拓扑球面定理 ,结果表明完备子流形的拓扑是受其内在和外在曲率不变量满足的某些条件所影响的
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| 关 键 词： | 子流形 拓扑球面 基本群 同胚 |
Submanifolds and the Topological Sphere Theorem |
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| Abstract. Submanifolds and the Topological Sphere Theorem[J]. Mathematica Applicata, 2004, 17(1): 73-77 |
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| Authors: | Abstract |
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| Abstract: | In this paper,we establish a topological sphere theorem for complete submanifolds in a sphere S n p (c) with c>0,which shows that the topology of a complete submanifold is affected by conditions on the main intrinsic and extrinsic curvature invariants. |
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| Keywords: | Submanifold Topological sphere Fundamental group Homeomorphism |
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