The Volume Entropy of a Riemannian Metric Evolving by the Ricci Flow on a Manifold of Dimension 3 or Above

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dc.creatorVasii, Catalin C.
dc.date2006-04-16
dc.date2006-12-09
dc.date.accessioned2026-07-07T07:10:57Z
dc.date.available2026-07-07T07:10:57Z
dc.descriptionIn this paper it is proven that the volume entropy of a riemannian metric evolving by the Ricci flow, if does not collapse, nondecreases. Therefore, it provides a sufficient condition for a solution to collapse. Then, for the limit solutions of type I or III, the limit entropy is the limit of the entropy as $t$ approaches the singular (finite or not) time.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0604355
dc.identifierhttp://arxiv.org/abs/math/0604355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111587
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58J35; 37B40
dc.titleThe Volume Entropy of a Riemannian Metric Evolving by the Ricci Flow on a Manifold of Dimension 3 or Above
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