| 紧流形上的第一特征值 |
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| 引用本文： | ZHAO Di,YANG Jian-an (Department of Mathematics,Beihang University,Beijing 100083,China). 紧流形上的第一特征值[J]. 数学季刊, 2005, 20(2): 200-205 |
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| 作者姓名： | ZHAO Di YANG Jian-an (Department of Mathematics Beihang University Beijing 100083 China) |
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| 作者单位： | Department of Mathematics，Beihang University，Beijing 100083，China |
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| 基金项目： | Supported by the NNSF of China(10271011)Supported by LIMB of the Ministry of Education China |
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| 摘 要： | This paper discusses the first eigenvalue on a compact Riemann manifold with the negative lower bound Ricci curvature. Let M be a compact Riemann manifold with the Ricci curvature≥-R, R=const. ≥0 and d is the diameter of M. Our main result is that the first eigenvalue λ1 of M satisfies λ1≥π^2/d^2-0.518R.
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| 关 键 词： | 里卡提曲率 第一特征值 紧黎曼流形 参数条件 |
The First Eigenvalue of a Compact Manifold |
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| ZHAODi YANGJian-an. The First Eigenvalue of a Compact Manifold[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(2): 200-205 |
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| Authors: | ZHAODi YANGJian-an |
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| Affiliation: | DepartmentofMathematics,BeihangUniversity,Beijing100083,China |
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| Abstract: | |
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| Keywords: | Ricci curvature first eigenvalue |
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