| ON THE FUNDAMENTAL GROUP OF OPEN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE＊＊＊＊ |
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| 引用本文： | XU Senlin,WANG Zuoqin,YANG Fangyun. ON THE FUNDAMENTAL GROUP OF OPEN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE＊＊＊＊[J]. 数学年刊B辑(英文版), 2003, 24(4): 469-474 |
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| 作者姓名： | XU Senlin WANG Zuoqin YANG Fangyun |
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| 作者单位： | XU SENLIN WANG ZUOQIN YANG FANGYUN Department of Mathematics，Central China Normai University，Wuhan 430079，China. Department of Mathematics，University of Science and Technology of China，Hefei 230026，China. Department of Mathematics，University of Science and Technology of China，Hefei 230026，China. |
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| 基金项目： | the National Natural Science Foundation of China(No.19971081). |
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| 摘 要： | The authors establish some uniform estimates for the distance to halfway points of minimal geodesics in terms of the distantce to end points on some types of Riemannian manifolds, and then prove some theorems about the finite generation of fundamental group of Riemannian manifold with nonnegative Ricci curvature, which support the famous Milnor conjecture.
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| 关 键 词： | 基群 开流形 Ricci曲率 过分函数 Riemann流形 有限生成 射线密度 一致估计 |
| 收稿时间： | 2004-07-02 |
ON THE FUNDAMENTAL GROUP OF OPEN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE |
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| XU Senlin,WANG Zuoqin and YANG Fangyun. ON THE FUNDAMENTAL GROUP OF OPEN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE[J]. Chinese Annals of Mathematics,Series B, 2003, 24(4): 469-474 |
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| Authors: | XU Senlin WANG Zuoqin YANG Fangyun |
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| Affiliation: | 1. Department of Mathematics, Central China Normal University, Wuhan 430079, China
2. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | The authors establish some uniform estimates for the distance to halfway points of minimal geodesics in terms of the distantce to end points on some types of Riemannian manifolds, and then prove some theorems about the finite generation of fundamental group of Riemannian manifold with nonnegative Ricci curvature, which support the famous Milnor conjecture. |
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| Keywords: | Excess function Finitely generated fundamental group Ray denisity Ricci curvature |
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