Sobolev Inequalities, Riesz Transforms and the Ricci Flow

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dc.creatorYe, Rugang
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:34Z
dc.date.available2026-07-07T08:27:34Z
dc.descriptionIn this paper we study the problem of deriving further Sobolev inequalities from a given Sobolev inequality. We use several different methods, including Bessel potentials and Riesz transforms. We apply the results to the Ricci flow to extend the author's results on the $W^{1,2}$ Sobolev inequality along the Ricci flow to $W^{1,p}$ and $W^{2,p}$ Sobolev inequalities for general p.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0709.0512
dc.identifierhttp://arxiv.org/abs/0709.0512
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137316
dc.subjectDifferential Geometry
dc.subject53C20, 53C21
dc.titleSobolev Inequalities, Riesz Transforms and the Ricci Flow
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