Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold

数学季刊 ›› 1993, Vol. 8 ›› Issue (2): 40-49.

Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold

Dpt. of Mathematics Jiaozuo Mining Institute Henan China 454159,Dpt . of Mathematics Jiaozuo Mining Institute Henan China 454159

收稿日期:1991-05-30 出版日期:1993-06-30 发布日期:2025-06-09
基金资助:
This research is supported by the Youth Science Foundation of Henan Province,China

Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold

Dpt. of Mathematics Jiaozuo Mining Institute Henan China 454159,Dpt . of Mathematics Jiaozuo Mining Institute Henan China 454159

Received:1991-05-30 Online:1993-06-30 Published:2025-06-09
Supported by:
This research is supported by the Youth Science Foundation of Henan Province,China

摘要/Abstract

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 λ1 the first eigerivalue for the Laplacian on M. Then there exists a constant ... .

关键词: Laplac Operator, Riemannuan Manifold, Ricoi Curvature, Lower.Bomd, Diameter, Eigcnvalue

Abstract: 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 λ1 the first eigerivalue for the Laplacian on M. Then there exists a constant ... .

Key words: Laplac Operator, Riemannuan Manifold, Ricoi Curvature, Lower.Bomd, Diameter, Eigcnvalue

祁锋, 郭白妮. Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold[J]. 数学季刊, 1993, 8(2): 40-49.

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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Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold

Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold

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