Weighted Poincaré inequality and rigidity of complete manifolds

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dc.creatorLi, Peter
dc.creatorWang, Jiaping
dc.date2007-01-24
dc.date2007-02-14
dc.date.accessioned2026-07-07T07:46:38Z
dc.date.available2026-07-07T07:46:38Z
dc.descriptionWe prove structure theorems for complete manifolds satisfying both the Ricci curvature lower bound and the weighted Poincaré inequality. In the process, a sharp decay estimate for the minimal positive Green's function is obtained. This estimate only depends on the weight function of the Poincaré inequality, and yields a criterion of parabolicity of connected components at infinity in terms of the weight function.
dc.identifierhttps://arxiv.org/abs/math/0701693
dc.identifierhttp://arxiv.org/abs/math/0701693
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123891
dc.subjectDifferential Geometry
dc.subject58J90
dc.titleWeighted Poincaré inequality and rigidity of complete manifolds
dc.typetext

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