| 非负曲率流形上紧致全凸集的结构 |
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| 引用本文： | 梅向明.非负曲率流形上紧致全凸集的结构[J].首都师范大学学报(自然科学版),2013,34(4):1-4. |
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| 作者姓名： | 梅向明 |
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| 作者单位： | 首都师范大学,北京,100048 |
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| 摘 要： | 研究了具有非负截面曲率完备黎曼流形的紧致全凸集的结构,不用Busemann函数而直接研究这类集合的Soul的存在性,压缩映射的淹没和零曲率的存在性质.
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| 关 键 词： | 黎曼流形 全凸集 淹没 Soul |
Structure of Compact Convex Set of Riemannian Manifold with Non-negative Curvature |
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| Mei Xiangming.Structure of Compact Convex Set of Riemannian Manifold with Non-negative Curvature[J].Journal of Capital Normal University(Natural Science Edition),2013,34(4):1-4. |
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| Authors: | Mei Xiangming |
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| Institution: | Mei Xiangming (Capital Normal University, Beijing 100048) |
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| Abstract: | In this paper we investigate the properties of compact convex set of complete Riemannian manifold with non- negative curvature, without using the Busemann function we directly get the existence of soul, Riemannian submer- sion of Sharafutdinov-map and some flat sectional curvature. |
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| Keywords: | Riemannian manifold convex set submersion soul |
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