| 拼挤黎曼流形中的子流形 |
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| 引用本文： | 张剑锋. 拼挤黎曼流形中的子流形[J]. 安徽师范大学学报(自然科学版), 2010, 33(4): 307-312,320. DOI: 10.3969/j.issn.1001-2443.2010.04.001 |
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| 作者姓名： | 张剑锋 |
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| 作者单位： | 丽水学院,数学系,浙江,丽水,323000 |
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| 基金项目： | The key academic discipline of Zhejiang Province of China |
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| 摘 要： | 研究了拼挤黎曼流形中子流形的几何性质.利用代数知识,讨论了与曲率有关的一些不变量,并得到了一般的结果,推广了相关文献的结论.同时,还研究了拟常曲率流形中子流形的不变量并得到相应的结果.
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| 关 键 词： | 拼挤黎曼流形 子流形 Ricci曲率 拟常曲率 |
On the Submanifold in Pinching Riemannian Manifold |
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| ZHANG Jian-feng. On the Submanifold in Pinching Riemannian Manifold[J]. Journal of Anhui Normal University(Natural Science Edition), 2010, 33(4): 307-312,320. DOI: 10.3969/j.issn.1001-2443.2010.04.001 |
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| Authors: | ZHANG Jian-feng |
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| Abstract: | In this paper,the geometry of submanifolds in pinching Riemannian manifold is studied.By using algebraic mechanics,we study some Riemannian invariants,and get some general results,which improve relevant results. At last, we study those invariants when the ambient manifold is a Riemannian manifold of quasi constant curvature,and obtain some relative results. |
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| Keywords: | pinching Riemannian manifold submanifold Ricci curvature quasi-constant curvature |
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