Finiteness and vanishing results on weighted Poincare inequality of complete manifolds

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dc.creatorLam, Kwan-hang
dc.date2007-11-06
dc.date.accessioned2026-07-07T08:41:04Z
dc.date.available2026-07-07T08:41:04Z
dc.descriptionWe study manifolds satisfying a weighed Poincare inequality, which was first introduced by Li-Wang. We generalized one of their results by relaxing the Ricci curvature bound condition only being satisfied outside a compact set and established a finitely many ends result. We proved a vanishing result for $L^2$ harmonic 1-form provided that the weight function $ρ$ is of sub-quadratic growth of the distance function.
dc.identifierhttps://arxiv.org/abs/0711.0924
dc.identifierhttp://arxiv.org/abs/0711.0924
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141564
dc.subjectDifferential Geometry
dc.titleFiniteness and vanishing results on weighted Poincare inequality of complete manifolds
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