Eigenvalue estimate on a compact Riemann manifold

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	Eigenvalue estimate on a compact Riemann manifold
	Zhao, D
	1999-09-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	42 期号:9 页码:897-904
摘要	Let M be a compact Riemann manifold with the Ricci curvature greater than or equal to - R(R = const. > 0). Denote by d the diameter of M. Then the first eigenvalue lambda(1) of M satisfies lambda(1) greater than or equal to pi(2)/d(2) - 0.52R. Moreover if R less than or equal to 5 pi(2)/3d(2), then lambda(1) greater than or equal to pi(2)/d(2) -R/2.
关键词	Riemann manifold eigenvalue Ricci curvature
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000083317400001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14637
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, D
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhao, D. Eigenvalue estimate on a compact Riemann manifold[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1999,42(9):897-904.
APA	Zhao, D.(1999).Eigenvalue estimate on a compact Riemann manifold.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,42(9),897-904.
MLA	Zhao, D."Eigenvalue estimate on a compact Riemann manifold".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 42.9(1999):897-904.