Some Geometric Properties of the Bakry-Emery-Ricci Tensor

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dc.creatorLott, John
dc.date2002-11-04
dc.date2003-04-20
dc.date.accessioned2026-07-07T04:52:39Z
dc.date.available2026-07-07T04:52:39Z
dc.descriptionThe Bakry-Emery tensor gives an analog of the Ricci tensor for a Riemannian manifold with a smooth measure. We show that some of the topological consequences of having a positive or nonnegative Ricci tensor are also valid for the Bakry-Emery tensor. We show that the Bakry-Emery tensor is nondecreasing under a Riemannian submersion whose fiber transport preserves measures up to constants. We give some relations between the Bakry-Emery tensor and measured Gromov-Hausdorff limits.
dc.descriptionfinal version
dc.identifierhttps://arxiv.org/abs/math/0211065
dc.identifierhttp://arxiv.org/abs/math/0211065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65541
dc.subjectDifferential Geometry
dc.titleSome Geometric Properties of the Bakry-Emery-Ricci Tensor
dc.typetext

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