Martin points on open manifolds of non-positive curvature

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dc.creatorCao, Jianguo
dc.creatorFan, Huijun
dc.creatorLedrappier, Francois
dc.date2005-05-26
dc.date.accessioned2026-07-07T05:20:17Z
dc.date.available2026-07-07T05:20:17Z
dc.descriptionThe Martin boundary of a Cartan-Hadamard manifold describes a fine 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.
dc.identifierhttps://arxiv.org/abs/math/0505575
dc.identifierhttp://arxiv.org/abs/math/0505575
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75326
dc.subjectDifferential Geometry
dc.subject53C99, 58G03
dc.titleMartin points on open manifolds of non-positive curvature
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