首页 > 《数学年刊：B辑英文版》 > 1991年3期 > ESTIMATE ON LOWER BOUND OF THE FIRST EIGENVALUE OF A COMPACT RIEMANNIAN MANIFOLD

ESTIMATE ON LOWER BOUND OF THE FIRST EIGENVALUE OF A COMPACT RIEMANNIAN MANIFOLD

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摘要 TheauthorgivesanoptimumestimateofthefirsteigenvalueofacompactRiemannianmanifold.ItisshownthatletMbeacompactRiemannianmanifold,thenthefirsteigenvalueλ1oftheLaplaceoperatorofMsatisfiesα1+max{0,-（n-1）K}≥π2/d2wheredisthediameterofMand（n-1）KisthenegativelowerboundoftheRiccicurvatureofM.

DOI o3j7zvggd1/176205

作者蔡开仁

机构地区不详

出处《数学年刊：B辑英文版》 1991年3期

关键词 RIEMANNIAN EIGENVALUE RICCI MANIFOLD curvature Laplace

分类 [理学][基础数学]

出版日期 1991年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

数学年刊：B辑英文版

数学年刊：B辑英文版

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相关关键词

RIEMANNIAN EIGENVALUE RICCI MANIFOLD curvature Laplace

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