| 非负曲率空间形式中常高阶平均曲率的子流形 |
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| 引用本文： | 王琪.非负曲率空间形式中常高阶平均曲率的子流形[J].云南师范大学学报(自然科学版),2013(1):29-33. |
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| 作者姓名： | 王琪 |
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| 作者单位： | 贵阳学院数学系,贵州贵阳550005 |
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| 基金项目： | 贵州省教育厅一般项目（黔教科2009062）. |
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| 摘 要： | 研究非负曲率空间形式Sn+1(c)(c0)中的常高阶平均曲率的n维等距浸入紧致闭子流形Mn,所得结果定理A在对第二基本型模长平方的一个拼挤条件下改进了这方面的有关定理.
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| 关 键 词： | 紧致闭子流形 高阶平均曲率 第二基本型模长平方 非负曲率空间形式 全脐 |
Sub-manifolds of Constant Higher Order Mean Curvature in the Non-negative Curvature Space Form |
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| WANG Qi.Sub-manifolds of Constant Higher Order Mean Curvature in the Non-negative Curvature Space Form[J].Journal of Yunnan Normal University (Natural Sciences Edition),2013(1):29-33. |
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| Authors: | WANG Qi |
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| Institution: | WANG Qi (Mathematics Department of GuiYang College,GuiYang 550005,China) |
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| Abstract: | This paper studies n-dimensional compact closed sub-manifoldsMn of constant higher mean curvature in the non-negative curvature space formS^n＋1（c）（c≥0）and,works out a theorem A to improve the relevant results in this research field under a pinching condition on the square length of the second fundamental form. |
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| Keywords: | Compact closed sub-manifold Higher order mean curvature Square length of the sec-ond fundamental form~Non-negative curvature space form Totally umbilical property |
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