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	Martin points on open manifolds of non-positive curvature
	Cao, Jianguo ; Fan, Huijun ; Ledrappier, Francois
	2007
关键词	CURVED MANIFOLDS RANK BOUNDARY
英文摘要	The Martin boundary of a Cartan-Hadamard manifold describes a. ne geometric structure at infinity, which is a sub-space of positive harmonic functions. We describe conditions which ensure that some points of the sphere at infinity belong to the Martin boundary as well. In the case of the universal cover of a compact manifold with Ballmann rank one, we show that Martin points are generic and of full harmonic measure. The result of this paper provides a partial answer to an open problem of S. T. Yau.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000249224900002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 0; ARTICLE; 12; 5697-5723; 359
语种	英语
出处	SCI
出版者	transactions of the american mathematical society
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/398121]
专题	数学科学学院
推荐引用方式 GB/T 7714	Cao, Jianguo,Fan, Huijun,Ledrappier, Francois. Martin points on open manifolds of non-positive curvature. 2007-01-01.

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