| 小Excess与具负下界Ricci曲率开流形的拓扑 |
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| 引用本文： | 徐森林,胡自胜.小Excess与具负下界Ricci曲率开流形的拓扑[J].数学季刊,2007,22(1):16-21. |
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| 作者姓名： | 徐森林 胡自胜 |
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| 作者单位： | School of Mathematics and Statistics，Huazhong Normal University，Wuhan 430079，China |
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| 摘 要： | In this paper,we study the relation between the excess of open manifolds and their topology by using the methods of comparison geometry.We prove that a complete open Riemmannian manifold with Ricci curvature negatively lower bounded is of finite topological type provided that the conjugate radius is bounded from below by a positive constant and its Excess is bounded by some function of its conjugate radius,which improves some results in 4].
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| 关 键 词： | 开流形 拓扑 超出量 下界 Ricci曲率 |
| 文章编号： | 1002-0462(2007)01-0016-06 |
| 修稿时间： | 2004年4月7日 |
Small Excess and the Topology of Open Manifolds with Ricci Curvature Negatively Lower Bounded |
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| XU Sen-lin,HU Zi-sheng.Small Excess and the Topology of Open Manifolds with Ricci Curvature Negatively Lower Bounded[J].Chinese Quarterly Journal of Mathematics,2007,22(1):16-21. |
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| Authors: | XU Sen-lin HU Zi-sheng |
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| Institution: | School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China |
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| Abstract: | In this paper,we study the relation between the excess of open manifolds and their topology by using the methods of comparison geometry.We prove that a complete open Riemmannian manifold with Ricci curvature negatively lower bounded is of finite topological type provided that the conjugate radius is bounded from below by a positive constant and its Excess is bounded by some function of its conjugate radius,which improves some results in 4]. |
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| Keywords: | open manifolds Ricci curvature conjugate radius critical point Excess function triangle comparison theorems |
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