| 常高阶平均曲率子流形的一个余维数约化定理 |
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| 引用本文： | 王琪.常高阶平均曲率子流形的一个余维数约化定理[J].贵州师范大学学报(自然科学版),2014(3):44-46. |
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| 作者姓名： | 王琪 |
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| 作者单位： | 贵阳学院数学与信息科学学院; |
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| 基金项目： | 贵州省教育厅自然科学研究项目(黔教科20090062) |
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| 摘 要： | 研究正曲率空间形式Sn+p((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,在第二基本型模长平方的一个拼挤条件下,得到了一个子流形余维数降低到一的余维数约化定理。
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| 关 键 词： | 紧致闭子流形 常高阶平均曲率 第二基本型模长平方 正曲率空间形式 余维数约化 |
A theorem of co-dimension reduction of sub-manifolds of constant higher order mean curvature |
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| WANG Qi.A theorem of co-dimension reduction of sub-manifolds of constant higher order mean curvature[J].Journal of Guizhou Normal University(Natural Sciences),2014(3):44-46. |
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| Authors: | WANG Qi |
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| Institution: | WANG Qi;School of Mathematics and Information Science,Guiyang College; |
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| Abstract: | This paper studies n-dimensional compact closed sub-manifolds Mnof constant higher mean curvature in the positive curvature space formSn ＋1（）c c （）0 and,gives out a new theorem of co-dimension reduction of sub-manifolds under a pinch condition of the square lengthen of the second fundamental form. |
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| Keywords: | compact closed sub-manifold higher order mean curvature square length of the second fundamental form positive curvature space form co-dimension reduction |
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