| 关于具平行平均曲率向量场的三维紧致子流形的Ricci曲率的Pinching问题 |
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| 引用本文： | 陈广华,徐森林,陈卿.关于具平行平均曲率向量场的三维紧致子流形的Ricci曲率的Pinching问题[J].中国科学技术大学学报,1992(2). |
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| 作者姓名： | 陈广华 徐森林 陈卿 |
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| 作者单位： | 中国科技技术大学数学系
(陈广华，徐森林)，中国科技技术大学数学系(陈卿) |
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| 摘 要： | 本文改进了空间形式F~(3 p)(c)(p>1)中具有平行平均曲率向量场的三维紧致子流形(截曲率为正)为全脐点的Ricci曲率的Pinching条件,得到目前最好的Pinching常数。
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| 关 键 词： | 平行平均曲率向量场 紧致子流形 Ricci曲率 |
On Pinching Problem of Ricci Curvature for 3-dimensional Compact Submanifolds with Parallel Mean Curvature |
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| Chen Guanghua Xu Senlin Chen Qing.On Pinching Problem of Ricci Curvature for 3-dimensional Compact Submanifolds with Parallel Mean Curvature[J].Journal of University of Science and Technology of China,1992(2). |
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| Authors: | Chen Guanghua Xu Senlin Chen Qing |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper improves the pinching condition of Ricci curvature for the 3-dimensional compact submanifolds in space form F~(3 1)(c) (p>1) with parallel mean curuature and positive sectional curvature when they are totally umbillical. We got the best pinching constant at presert. |
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| Keywords: | Parallel mean curvature vector compact submanffolds Ricci curvature |
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