| GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD |
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| 作者姓名： | 谢纳庆 许洪伟 |
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| 作者单位： | Institute of Mathematics Fudan University，Center of Mathematical Sciences，Zhejiang University，Shanghai 200433，China，Hangzhou 310027，China |
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| 基金项目： | 国家自然科学基金，教育部跨世纪优秀人才培养计划，浙江省自然科学基金，复旦大学校科研和教改项目 |
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| 摘 要： | This article gives some geometric inequalities for a submanifold with parallel second fundamental form in a pinched Riemannian manifold and the distribution for the square norm of its second fundamental form.
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| 关 键 词： | 几何不等式 黎曼流形 约束流形 子流形 第二基本型 |
| 收稿时间： | 23 December 2004 |
| 修稿时间： | 2004-12-232005-12-14 |
Geometric inequalities for certain submanifolds in a pinched Riemannian manifold |
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| Naqing Xie,Hongwei Xu,.GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD[J].Acta Mathematica Scientia,2007,27(3):611-618. |
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| Authors: | Naqing Xie Hongwei Xu |
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| Institution: | 1.Institute of Mathematics, Fudan University, Shanghai 200433, China;2.Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | This article gives some geometric inequalities for a submanifold with parallel second fundamental form in a pinched Riemannian manifold and the distribution for the square norm of its second fundamental form. |
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| Keywords: | Submanifolds second fundamental form pinched Riemannian manifold |
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