The entropy formula for linear heat equation

dc.creatorNi, Lei
dc.date2003-06-09
dc.date2003-09-25
dc.date.accessioned2026-07-07T04:58:41Z
dc.date.available2026-07-07T04:58:41Z
dc.descriptionWe derive the entropy formula for the linear heat equaiton on complete Riemannian manifolds with nonnegative Ricci curvature. As applications, we study the relation between the value of entropy and the volume of balls of various scales. The results are simpler version, without Ricci flow, of Perelman's recent results on volume non-collapsing.
dc.descriptionto appear in Jour. Geom. Anal
dc.identifierhttps://arxiv.org/abs/math/0306147
dc.identifierhttp://arxiv.org/abs/math/0306147
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67742
dc.subjectDifferential Geometry
dc.subject58G11
dc.titleThe entropy formula for linear heat equation
dc.typetext

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