| 具有非负Ricci曲率和大体积增长的开流形 |
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| 引用本文： | 徐森林,宋冰玉. 具有非负Ricci曲率和大体积增长的开流形[J]. 数学季刊, 2006, 21(4): 475-481 |
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| 作者姓名： | 徐森林 宋冰玉 |
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| 作者单位： | Department of Mathematics Central China Normal University，Department of Mathematics，Central China Normal University，Wuhan 430079，China，Wuhan 430079，China |
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| 基金项目： | supported by the NNsF of china(10371047) |
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| 摘 要： | In this paper,we prove that a complete n-dimensional Riemannian manifold with n0nnegative kth-Ricci curvature,large volume growth has finite topological type provided that lim{((vol[B(p,r))]/(ω_nr~n)-αM)r(k(n-1))/(k 1)(1-α/2)}＜=εfor some constantε＞0.We also prove that a complete Riemannian manifold with nonnegative kth-Ricci curvature and under some pinching conditions is diffeomorphic to R~n.
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| 关 键 词： | 大体积增长性 流形 非负Ricci曲率 黎曼几何 |
Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth |
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| XU Sen-lin,SONG Bing-yu. Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 475-481 |
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| Authors: | XU Sen-lin SONG Bing-yu |
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| Affiliation: | Department of Mathematics, Central China Normal University, Wuhan 430079, China |
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| Abstract: | |
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| Keywords: | Excess function large volume growth nonnegative kth-Ricci curvature |
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