Differential Harnack Estimates for Backward Heat Equations with Potentials under the Ricci Flow

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dc.creatorCao, Xiaodong
dc.date2008-05-22
dc.date.accessioned2026-07-07T09:40:20Z
dc.date.available2026-07-07T09:40:20Z
dc.descriptionIn this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities for positive solutions of backward heat-type equations with potentials (including the conjugate heat equation) under the Ricci flow. We shall also derive Perelman's Harnack inequality for the fundamental solution of the conjugate heat equation under the Ricci flow.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0805.3381
dc.identifierhttp://arxiv.org/abs/0805.3381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161455
dc.subjectDifferential Geometry
dc.subject53C44
dc.titleDifferential Harnack Estimates for Backward Heat Equations with Potentials under the Ricci Flow
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