On the asymptotic reduced volume of the Ricci flow

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dc.creatorYokota, Takumi
dc.date2009-04-06
dc.date.accessioned2026-07-07T13:00:47Z
dc.date.available2026-07-07T13:00:47Z
dc.descriptionIn this paper, we consider two different monotone quantities defined for the Ricci flow and show that their asymptotic limits coincide for any ancient solutions. One of the quantities we consider here is Perelman's reduced volume, while the other is the local quantity discovered by Ecker, Knopf, Ni and Topping. This establishes a relation between these two monotone quantities.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0904.0868
dc.identifierhttp://arxiv.org/abs/0904.0868
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225949
dc.subjectDifferential Geometry
dc.subject53C21 (Primary), 35B40, 58J35
dc.titleOn the asymptotic reduced volume of the Ricci flow
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