| 局部对称拟常曲率黎曼流形的紧致伪脐子流形 |
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| 引用本文： | 李明图. 局部对称拟常曲率黎曼流形的紧致伪脐子流形[J]. 甘肃科学学报, 2008, 20(1): 16-19 |
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| 作者姓名： | 李明图 |
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| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 讨论局部对称拟常曲率黎曼流形中的紧致伪脐子流形，得到了这种子流形的一个．Simons-型积分不等式（定理1）和Yau-型积分不等式（定理2）．
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| 关 键 词： | 拟常曲率黎曼流形 伪脐子流形 局部对称 截面曲率 积分不等式 |
| 文章编号： | 1004-0366(2008)01-0016-04 |
| 修稿时间： | 2007-01-04 |
On Compact Pseudo-umbilical Submanifolds in Locally Symmetric Riemannian Manifolds of Quasi-constant Curvature |
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| LI Ming-tu. On Compact Pseudo-umbilical Submanifolds in Locally Symmetric Riemannian Manifolds of Quasi-constant Curvature[J]. Journal of Gansu Sciences, 2008, 20(1): 16-19 |
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| Authors: | LI Ming-tu |
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| Affiliation: | LI Ming-tu(Collage of Mathematics , Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | The compact pseudo-umbilical submanifolds with parallel mean curvature are discussed in Locally Symmetric Riemannian manifolds of quasi-constant curvature,and two integral inequalities of Simons-type and Yau-type are obtained,respectively. |
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| Keywords: | quasi-constant curvature Riemannian manifold pseudo-umbilical submanifold Locally Symmetric sectional courvature integral inequality |
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