| Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold |
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| 作者姓名： | 祁锋 郭白妮 |
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| 作者单位： | Dep. of Mathematics Jiaozuo Mining Institute Henan China 454159，Dep. of Mathematics Jiaozuo Mining Institute Henan China 454159 |
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| 摘 要： | Let M be a compact m-dimensional Riemannian manifold, let d denote, its diameter, -R(R>O) the lower bound of the Ricci curvature, and λ_1 the first eigerivalue for the Laplacian on M. Then there exists a constant C_m=max{2~(1/m-1),2~(1/2)}, Such thatλ_1≥π~2/d~2·1/(2-(11)/(2π~2))+11/2π~2e~cm、(?)
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| 关 键 词： | 下界 第一特征值 Laplace算子 紧黎曼流形 Ricli曲率 梯度估计 |
Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold |
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| Qi Feng Guo Baini.Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold[J].Chinese Quarterly Journal of Mathematics,1993,8(2):40-49. |
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| Authors: | Qi Feng Guo Baini |
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| Abstract: | |
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| Keywords: | Laplace Opeator Riemannian Manifold Ricoi Curvature Lower Bound Diameter Eigenvalue |
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