Laplacian comparison for Alexandrov spaces

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dc.creatorKuwae, Kazuhiro
dc.creatorShioya, Takashi
dc.date2007-09-06
dc.date.accessioned2026-07-07T08:27:53Z
dc.date.available2026-07-07T08:27:53Z
dc.descriptionWe consider an infinitesimal version of the Bishop-Gromov relative volume comparison condition as generalized notion of Ricci curvature bounded below for Alexandrov spaces. We prove a Laplacian comparison theorem for Alexandrov spaces under the condition. As an application we prove a topological splitting theorem.
dc.description30 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0709.0788
dc.identifierhttp://arxiv.org/abs/0709.0788
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137425
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C20; 53C21; 53C23
dc.titleLaplacian comparison for Alexandrov spaces
dc.typetext

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