| Ricci曲率平行的黎曼流形的刚性定理 |
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| 引用本文： | 廖蔡生.Ricci曲率平行的黎曼流形的刚性定理[J].华东师范大学学报(自然科学版),1999(1):8-15. |
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| 作者姓名： | 廖蔡生 |
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| 作者单位： | 华东师范大学数学系 |
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| 摘 要： | 该文研究Ｒｉｃｃｉ曲率平行的黎曼流形，将文（６），（７）中Ｅｉｎｓｔｅｉｎ流形的一些刚性定理推广到Ｒｉｃｃｉ曲率平行的黎曼流形上。
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| 关 键 词： | Ricci曲率 刚性定理 第一特征值 黎曼流形 |
Rigidity Theorems for Riemannian Manifolds Which Ricci Curvature Tensors Are Parallel |
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| Liao Caisheng.Rigidity Theorems for Riemannian Manifolds Which Ricci Curvature Tensors Are Parallel[J].Journal of East China Normal University(Natural Science),1999(1):8-15. |
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| Authors: | Liao Caisheng |
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| Abstract: | In this paper, Riemannian manifolds are studied which Ricci curvature tensors are parallel, and generalize some rigidity theorems for Einstein manifolds to Riemannian manifolds which Ricci curvature are parallel. |
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| Keywords: | Ricci curvature tensor rigidity theorem Sobolev inequality the first eigenvalue |
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