| 拟常曲率黎曼流形中具有平行平均曲率向量的子流形 |
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| 引用本文： | 丁顺汉. 拟常曲率黎曼流形中具有平行平均曲率向量的子流形[J]. 吉林大学学报(理学版), 2006, 44(3): 380-384 |
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| 作者姓名： | 丁顺汉 |
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| 作者单位： | 丽水学院,数学系,浙江省,丽水,323000 |
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| 摘 要： | 研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形. 通过计算子流形第二基本形式模长平方的拉普拉斯, 利用Stokes定理, 得到这类子流形的一个积分不等式. 使得对拟常曲率黎曼流形中紧致子流形的研究由极小子流形和伪脐子流形情形扩展到具有平行平均曲率向量的情形.
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| 关 键 词： | 平行平均曲率 黎曼流形 紧致子流形 |
| 文章编号： | 1671-5489(2006)03-0380-05 |
| 收稿时间： | 2005-12-12 |
| 修稿时间： | 2005-12-12 |
Compact Submanifolds in Quasi Constant Curvature Riemannian Manifolds with Parallel Mean Curvature Vector |
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| DING Shun-han. Compact Submanifolds in Quasi Constant Curvature Riemannian Manifolds with Parallel Mean Curvature Vector[J]. Journal of Jilin University: Sci Ed, 2006, 44(3): 380-384 |
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| Authors: | DING Shun-han |
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| Affiliation: | Department of Mathematics, Lishui College, Lishui 323000, Zhejiang Province, China |
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| Abstract: | The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied. By using Stokes theorem, and some last results of algebra inequation, an integral inequality was obtained. The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case. |
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| Keywords: | parallel mean curvature Riemannian manifold compact submanifold |
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