Ricci flow with surgery on three-manifolds

dc.creatorPerelman, Grisha
dc.date2003-03-10
dc.date.accessioned2026-07-07T04:55:53Z
dc.date.available2026-07-07T04:55:53Z
dc.descriptionThis is a technical paper, which is a continuation of math.DG/0211159. Here we construct Ricci flow with surgeries and verify most of the assertions, made in section 13 of that e-print; the exceptions are (1) the statement that manifolds that can collapse with local lower bound on sectional curvature are graph manifolds - this is deferred to a separate paper, since the proof has nothing to do with the Ricci flow, and (2) the claim on the lower bound for the volume of maximal horns and the smoothness of solutions from some time on, which turned out to be unjustified and, on the other hand, irrelevant for the other conclusions.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0303109
dc.identifierhttp://arxiv.org/abs/math/0303109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66738
dc.subjectDifferential Geometry
dc.subject53C
dc.titleRicci flow with surgery on three-manifolds
dc.typetext

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