| Complete Open Manifolds with Nonnegative Ricci Curvature |
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| 引用本文： | 徐森林,薛琼. Complete Open Manifolds with Nonnegative Ricci Curvature[J]. 东北数学, 2006, 22(2): 149-154 |
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| 作者姓名： | 徐森林 薛琼 |
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| 作者单位： | Department of Mathematics Central China Normal University Wuhan，430079，Department of Mathematics Central China Normal University，Wuhan，430079 |
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| 基金项目： | The NSF (10371047) of China. |
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| 摘 要： | In this paper, we study complete open manifolds with nonnegative Ricci curvature and injectivity radius bounded from below. We find that this kind of manifolds are diffeomorphic to a Euclidean space when certain distance functions satisfy a reasonable condition.
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| 关 键 词： | 非负Ricci曲率 注射半径 额外函数 Kth-Ricci曲率 |
Complete Open Manifolds with Nonnegative Ricci Curvature |
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| XU Sen-lin and XUE Qiong. Complete Open Manifolds with Nonnegative Ricci Curvature[J]. Northeastern Mathematical Journal, 2006, 22(2): 149-154 |
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| Authors: | XU Sen-lin and XUE Qiong |
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| Affiliation: | Department of Mathematics, Central China Normal University, Wuhan, 430079 |
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| Abstract: | In this paper, we study complete open manifolds with nonnegative Ricci curvature and injectivity radius bounded from below. We find that this kind of manifolds are diffeomorphic to a Euclidean space when certain distance functions satisfy a reasonable condition. |
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| Keywords: | open manifold nonnegative Ricci curvature injectivity radius excess function diameter of ends Kth-Ricci curvature |
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