| 开流形的曲率与拓扑 |
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| 引用本文： | 李凌,宋冰玉. 开流形的曲率与拓扑[J]. 海军工程大学学报, 2007, 19(4): 106-110 |
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| 作者姓名： | 李凌 宋冰玉 |
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| 作者单位： | 1. 海军工程大学,理学院,430033
2. 华中师范大学,数学与统计学学院,武汉,430079 |
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| 基金项目： | 海军工程大学校科研和教改项目 |
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| 摘 要： | 应用比较几何的方法研究了完备非紧且具有特定曲率条件的黎曼流形,证明了在一定Pinching条件限制下,流形具有有限拓扑型或者微分同胚于Rn。
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| 关 键 词： | 微分同胚 有限拓扑型 Excess函数 大体积增长 |
| 文章编号： | 1009-3486(2007)04-0106-05 |
| 修稿时间： | 2007-02-10 |
Open manifolds with nonnegative Ricci curvature and large volume growth |
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| LI Ling,SONG Bing-yu. Open manifolds with nonnegative Ricci curvature and large volume growth[J]. Journal of Naval University of Engineering, 2007, 19(4): 106-110 |
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| Authors: | LI Ling SONG Bing-yu |
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| Abstract: | This paper deals with the relation between the curvature and the topology of some Riemannian manifolds.And discusses complete noncompact open Riemannian manifolds with special curvature conditions via comparisonal geometry methods.The result proves that with some Pinching conditions has finite topological type or even diffeomorphic to the Euclid Space. |
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| Keywords: | diffeomorphism finite topological type Excess function large volume growth |
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