[PDF.06aq] Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture
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Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture
Qi S. Zhang
[PDF.nw43] Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture
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| #4457318 in Books | 2010-07-02 | Original language:English | PDF # 1 | 9.40 x1.10 x6.20l,1.65 | File type: PDF | 432 pages||||The approach here is somewhat different from that of Perelman. The author shows that the W-entropy and its monotonicity imply certain uniform Sobolev inequalities along Ricci flows. These are used in the proofs of the two steps mentioned above, bypas
Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincaré Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The author explains key ideas, difficult proofs, and important applications in a succinct, accessible...
You can specify the type of files you want, for your device.Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture | Qi S. Zhang. A good, fresh read, highly recommended.