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	Some properties of non-compact complete Riemannian manifolds
	Ma, L
	2010-05-06 ; 2010-05-06
关键词	volume growth gradient estimate Ricci soliton GEOMETRY Mathematics, Applied
中文摘要	In this paper, we study the volume growth property of a non-compact complete Riemannian manifold M. We improve the volume growth theorem of Calabi (1975) and Yau (1976), Cheeger, Gromov and Taylor (1982). Then we use our new result to study gradient Ricci solitons. We also show that on M, for any q is an element of (0, infinity), every non-negative L-q subharmonic function is constant under a natural decay condition on the Ricci curvature. (c) 2006 Elsevier SAS. All rights reserved.
语种	英语 ; 英语
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER ; PARIS ; 23 RUE LINOIS, 75015 PARIS, FRANCE
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13787]
专题	清华大学
推荐引用方式 GB/T 7714	Ma, L. Some properties of non-compact complete Riemannian manifolds[J],2010, 2010.
APA	Ma, L.(2010).Some properties of non-compact complete Riemannian manifolds..
MLA	Ma, L."Some properties of non-compact complete Riemannian manifolds".(2010).

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