| 局部对称共形平坦空间中具有平坦法丛的伪脐子流形 |
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| 引用本文： | 虞海潮. 局部对称共形平坦空间中具有平坦法丛的伪脐子流形[J]. 安徽师范大学学报(自然科学版), 2006, 29(6): 519-523 |
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| 作者姓名： | 虞海潮 |
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| 作者单位： | 浙江工业大学,浙西分校数理系,浙江,衢州,324000 |
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| 摘 要： | 本文研究局部对称共形平坦黎曼流形中具有平坦法丛的紧致伪脐子流形,建立了一个Simons型积分不等式,并由此得到了极小子流形的第二基本形式模长平方的Pinching结果.
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| 关 键 词： | 局部对称 共形平坦 法丛平坦 伪脐子流形 极小子流形 |
| 文章编号： | 1001-2443（2006）06-0519-05 |
| 收稿时间： | 2006-05-15 |
| 修稿时间： | 2006-05-15 |
On Pseudo-Umbilical Submanifolds with Flat Normal Bundle in a Locally Symmetric Conformally Flat Riemannian Manifold |
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| YU Hai-chao. On Pseudo-Umbilical Submanifolds with Flat Normal Bundle in a Locally Symmetric Conformally Flat Riemannian Manifold[J]. Journal of Anhui Normal University(Natural Science Edition), 2006, 29(6): 519-523 |
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| Authors: | YU Hai-chao |
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| Affiliation: | West Branch of Zhejiang Technology University, Quzhou 324000, China |
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| Abstract: | In this paper,we discussed the compact speudo-umbilical submanifolds with flat normal bundle in a locally symmetric conformally flat Riemannian manifold.We give an integral inequality of Simons' type and we obtain the square of the length of the second fundamental form's pinching theorem of the minimal(submanifolds). |
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| Keywords: | locally symmetric conformally flat pseudo umbilical submainifold integral inequality |
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