Strong non-collapsing and uniform Sobolev inequalities for Ricci flow with surgeries

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dc.creatorZhang, Qi S.
dc.date2007-12-09
dc.date.accessioned2026-07-07T08:48:10Z
dc.date.available2026-07-07T08:48:10Z
dc.descriptionWe prove a uniform Sobolev inequality for Ricci flow, which is independent of the number of surgeries. As an application, under less assumptions, a non-collapsing result stronger than Perelman's $κ$ non-collapsing with surgery is derived. The proof is shorter and seems more accessible. The result also improves some earlier ones where the Sobolev inequality depended on the number of surgeries.
dc.identifierhttps://arxiv.org/abs/0712.1329
dc.identifierhttp://arxiv.org/abs/0712.1329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143854
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C21
dc.titleStrong non-collapsing and uniform Sobolev inequalities for Ricci flow with surgeries
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