| 具非负曲率的紧致非单连通流形 |
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| 引用本文： | 许文彬. 具非负曲率的紧致非单连通流形[J]. 集美大学学报(自然科学版), 2004, 9(1): 87-90 |
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| 作者姓名： | 许文彬 |
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| 作者单位： | 集美大学基础教学部,福建,厦门,361021 |
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| 基金项目： | 集美大学科研基金资助项目(C50329) |
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| 摘 要： | 讨论了紧致非单连通的具非负曲率的流形的一些几何性质，并应用它们证明了具非负曲率的紧致非单连通曲面必为平坦的．
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| 关 键 词： | 紧致流形 测地直线 曲面 平坦的 |
| 文章编号： | 1007-7405(2004)01-0087-04 |
| 修稿时间： | 2003-10-29 |
Non-simply Connected Compact Manifold with Nonnegative Curvature |
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| XU Wen-bin. Non-simply Connected Compact Manifold with Nonnegative Curvature[J]. the Editorial Board of Jimei University(Natural Science), 2004, 9(1): 87-90 |
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| Authors: | XU Wen-bin |
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| Abstract: | The paper discusses some geometric properties of a non-simply connected compact manifold with nonnegative Curvature.With the help of them,it can be proved that the non-simply connected compact surface with nonnegative curvature must be flat. |
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| Keywords: | compact manifold geodesic line surface flat |
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