| 伪Riemann流形中的2-调和类空子流形 |
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| 引用本文： | 洪涛清,张剑锋. 伪Riemann流形中的2-调和类空子流形[J]. 吉林大学学报(理学版), 2009, 47(2): 257-260 |
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| 作者姓名： | 洪涛清 张剑锋 |
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| 作者单位： | 丽水学院,数学系,浙江,丽水,323000;丽水学院,数学系,浙江,丽水,323000 |
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| 基金项目： | 浙江省高校重点学科项目,丽水学院青年基金 |
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| 摘 要： | 通过推广相关定理, 给出了具有非负截面曲率的伪Riemann流形中的2-调和类空子流形成为极大类空子流形的一个充分条件, 并通过减弱相关定理的条件, 讨论了外围流形Ricci曲率有上下界时的超曲面情况, 从而改进了相关结果.
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| 关 键 词： | 伪Riemann流形 2-调和映射 平均曲率向量 类空子流形 超曲面 |
| 收稿时间： | 2008-04-28 |
2-Harmonic Space-like Submanifolds in Pseudo-Riemann Manifold |
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| HONG Tao-qing,ZHANG Jian-feng. 2-Harmonic Space-like Submanifolds in Pseudo-Riemann Manifold[J]. Journal of Jilin University: Sci Ed, 2009, 47(2): 257-260 |
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| Authors: | HONG Tao-qing ZHANG Jian-feng |
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| Affiliation: | Department of Mathematics, Lishui University, Lishui 323000, Zhejiang Province, ChinaWe obtained one sufficient condition under which a 2 h |
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| Abstract: | We obtained one sufficient condition under which a 2-harmonic submanifold with non-negative section curvature turns into a maximal submanifold by promoting known theorem.And We also studied the 2-harmonic hypersurfaces by weakening the conditions when the Ricci curvature of the ambient manifold had upper and lower restrict,thus improving the known results. |
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| Keywords: | pseudo-Riemann manifold 2-harmonic map mean curvature vector space-like submanifold hypersurface |
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