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

Authors
  • Ye, Rugang
Type
Preprint
Publication Date
Sep 18, 2007
Submission Date
Sep 18, 2007
Identifiers
arXiv ID: 0709.2724
Source
arXiv
License
Unknown
External links

Abstract

In 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.

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