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Some geometric properties of the Bakry-Émery-Ricci tensor
dc.contributor.authorLott, Johnen_US
dc.date.accessioned2006-09-08T19:39:30Z
dc.date.available2006-09-08T19:39:30Z
dc.date.issued2003-10en_US
dc.identifier.citationLott, John; (2003). "Some geometric properties of the Bakry-Émery-Ricci tensor." Commentarii Mathematici Helvetici 78(4): 865-883. <http://hdl.handle.net/2027.42/41807>en_US
dc.identifier.issn0010-2571en_US
dc.identifier.issn1420-8946en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/41807
dc.description.abstractThe Bakry-Émery tensor gives an analog of the Ricci tensor for aRiemannian manifold with a smooth measure. We show that some ofthe topological consequences of having a positive or nonnegativeRicci tensor are also valid for the Bakry-Émery tensor. We showthat the Bakry-Émery tensor is nondecreasing under a Riemanniansubmersion whose fiber transport preserves measures up to constants.We give somerelations between the Bakry-Émery tensor and measuredGromov-Hausdorff limits.en_US
dc.format.extent259205 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherBirkhäuser-Verlag; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherPrimary 53C21en_US
dc.subject.otherSecondary 58G25en_US
dc.subject.otherRicci Tensoren_US
dc.subject.otherMetric-measure Spaceen_US
dc.subject.otherRiemannian Submersionen_US
dc.titleSome geometric properties of the Bakry-Émery-Ricci tensoren_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, MI 48109-1109, Ann Arbor, USA,en_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/41807/1/14_2003_Article_775.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s00014-003-0775-8en_US
dc.identifier.sourceCommentarii Mathematici Helveticien_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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