Entropy Functionals, Sobolev Inequalities and kappa-Noncollapsing Estimates along the Ricci Flow

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dc.creatorYe, Rugang
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:21Z
dc.date.available2026-07-07T08:30:21Z
dc.descriptionIn this survey we review Hamilton's entropy and Perelman's entropy, and provide motivations for these concepts. Then we review recent results on the logarithmic Sobolev inequality, the Sobolev inequalities and kappa-noncollapsing estimates along the Ricci flow, including the Ricci flow with surgeries.
dc.descriptionThis survey was written for the 4th International Congress of Chinese Mathematicians to be held in Hangzhou, China in December 2007, and for the memorial volume dedicated to the 771 class of mathematics of China University of Science and Technology
dc.identifierhttps://arxiv.org/abs/0709.2724
dc.identifierhttp://arxiv.org/abs/0709.2724
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138219
dc.subjectDifferential Geometry
dc.subject53C20, 53C21
dc.titleEntropy Functionals, Sobolev Inequalities and kappa-Noncollapsing Estimates along the Ricci Flow
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