Gives a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors have also attempted to give the appropriate references so that the reader may further pursue the statements and proofs of the various results. Series: Mathematical Surveys and Monographs. Num Pages: 458 pages. BIC Classification: PBMP. Category: (UU) Undergraduate. Dimension: 257 x 172 x 29. Weight in Grams: 986. . 2007. Hardcover. . . . . Books ship from the US and Ireland.

Codice articolo V9780821844298

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Titolo: The Ricci Flow: Techniques and Applications (Mathematical Surveys and Monographs) (Part II)
Editore: American Mathematical Society
Data di pubblicazione: 2007
Lingua: Inglese
ISBN 10: 0821844296
ISBN 13: 9780821844298
Rilegatura: Rilegato
Condizione: New

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Describing the effects of the depth and breadth of this flow method on the understanding the structure of manifolds, the authors begin with the tenth chapter in this series, focusing on weak maximum principles for scalars, tensors and systems, then move to closed manifolds and positive curvature, weak and strong maximum principles on non-compact manifolds, qualitative behaviors of classes of solutions, differential Harnack estimates of LYH types, and Perelman's differential Harnack estimate. Appendices give an overview of aspects of Ricci flow, aspects of geometric analysis related to Ricci flow, and tensor calculus on the frame bundle. They provide a number of worked examples and exercises along with some very interesting quotations from unlikely sources. The result is lively and very accessible to professionals and advanced students. Annotation �2008 Book News, Inc., Portland, OR (booknews.com)

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