Eigenvalue estimate on a compact Riemann manifold

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：seraph72

【摘要】

：

Let M be a compact Riemann manifold with the Ricci curvature ≥ - R（R = const. 】0）. Denote by d the diameter of M. Then the first eigenvalue λ1 of M

【作者】

：

赵迪

【机构】

：

1.InstituteofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

1999年9期

【关键词】

：

RIEMANN MANIFOLD EIGENVALUE RICCI curvature. Riemann manifold eigenvalue Ricci c

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Let M be a compact Riemann manifold with the Ricci curvature ≥ - R（R = const. 】0）. Denote by d the diameter of M. Then the first eigenvalue λ1 of M satisfies λ1≥（π2/d2</sup

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Eigenvalue estimate on a compact Riemann manifold

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