| 关于局部对称共形平坦黎曼流形中的紧致极小子流形 |
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| 引用本文： | 徐仙发.关于局部对称共形平坦黎曼流形中的紧致极小子流形[J].咸阳师范学院学报,2011,26(4). |
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| 作者姓名： | 徐仙发 |
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| 作者单位： | 丽水学院幼儿师范学院,浙江松阳,323400 |
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| 摘 要： | 讨论局部对称共形平坦黎曼流形中的紧致极小子流形，得到了这类子流形第二基本形式模长平方关于外围空间Ricci曲率的Pinching定理，推广了相应的结果。
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| 关 键 词： | 局部对称 共形平坦 极小子流形 全测地 |
The Compact Minimal Submanifolds in a Locally Symmetric Conformally Flat Riemannian Manifold |
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| XU Xian-fa.The Compact Minimal Submanifolds in a Locally Symmetric Conformally Flat Riemannian Manifold[J].Journal of Xianyang Normal University,2011,26(4). |
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| Authors: | XU Xian-fa |
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| Institution: | XU Xian-fa (Preschool Teacher Education College,Lishui University,Songyang 323400,Zhejiang,China) |
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| Abstract: | The compact minamal submanifold of a locally symmetric and comformally flat Riemannian manifold are studied, and obtain the Pinching theorems about this manifolds with the square of the length of the second fundamemtal form σ and outside space＇ s Ricci curvatu, the results in this paper generalizes the correspondence theorems in bibliography. |
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| Keywords: | locally symmetry conformalSy flat minimal submanifolds totally geodesic |
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