| 具有相对迷向平均Landsberg曲率的流形的一个整体刚性定理 |
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| 引用本文： | 邓义华.具有相对迷向平均Landsberg曲率的流形的一个整体刚性定理[J].数学的实践与认识,2010,40(23). |
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| 作者姓名： | 邓义华 |
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| 基金项目： | 湖南省自然科学基金，湖南省教育厅青年项目 |
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| 摘 要： | 讨论了具有相对迷向平均Landsberg曲率的度量的一些几何性质.证明了任一闭的具有负旗曲率与相对迷向平均Landsberg曲率的流形一定是Riemann流形.
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| 关 键 词： | 旗曲率 Riemann流形 弱Landsberg流形 相对迷向平均Landsberg曲率 |
A Global Rigidity Theorem for Manifolds with Relatively Isotropic Mean Landsberg Curvature |
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| DENG Yi-Hua.A Global Rigidity Theorem for Manifolds with Relatively Isotropic Mean Landsberg Curvature[J].Mathematics in Practice and Theory,2010,40(23). |
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| Authors: | DENG Yi-Hua |
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| Abstract: | Some geometric properties of manifolds with relatively isotropic mean Landsberg metric are discussed in this paper.We prove that any manifolds with negative flag curvature and relatively isotropic mean Landsberg curvature must be Riemann manifolds. |
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| Keywords: | flag curvature Riemann manifolds weakly Landsberg manifolds relatively isotropic mean Landsberg curvature |
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