The entropy formula for linear heat equation

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We 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.
to appear in Jour. Geom. Anal

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Differential Geometry, 58G11

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http://salesiana.dossiersoluciones.com/handle/123456789/67742

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306147
 http://arxiv.org/abs/math/0306147

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arXiv