| 局部对称空间中的紧致极小子流形的Ricci曲率 |
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| 引用本文： | 肖志美,陈抚良,温焕明.局部对称空间中的紧致极小子流形的Ricci曲率[J].江西科学,2009,27(3):339-342. |
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| 作者姓名： | 肖志美 陈抚良 温焕明 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西,南昌,330022 |
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| 摘 要： | 设N^m＋p是截面曲率KN满足1/2〈δ≤KN≤1的n＋p维局部对称空间完备的δ-Pinching黎曼流形，M^n是N^m＋p中的紧致极小子流形。讨论了这类子流形关于Ricci曲率的pinching问题。
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| 关 键 词： | 局部对称 Ricci曲率 极小子流形 全测地 |
Ricci Curvature of Compact Minimal Submanifolds in Locally Symmetric Space |
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| XIAO Zhi-mei,CHEN Fu-liang,WEN Huan-ming.Ricci Curvature of Compact Minimal Submanifolds in Locally Symmetric Space[J].Jiangxi Science,2009,27(3):339-342. |
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| Authors: | XIAO Zhi-mei CHEN Fu-liang WEN Huan-ming |
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| Institution: | College of Mathematics and Information Science;Jiangxi Normal University;Jiangxi Nanchang 330022 PRC |
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| Abstract: | Let N^n＋p be a n ＋ p-dimensional locally symmetric complete Riemannian manifold with 1 sectional curvature KN satisfies 1/2〈δ≤KN≤1 and M^n be an n-dimensional compact minimal submanifolds in N^n＋p. In this paper, the authors discuss the pinching theorem about this manifold with Ricci curvature. |
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| Keywords: | Locally symmetry Ricci curvature Minimal submanifolds Total geodesic |
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