The Ricci Flow: Techniques and Applications Part II: Analytical Aspects

Chow, Bennett/ Chu, Sun-Chin/ Glickenstein, David/ Guenther, Christine/ Isenberg, James

ISBN 10: 0821844296 / ISBN 13: 9780821844298

Editore: Amer Mathematical Society, 2008

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458 pages. 10.25x7.25x1.25 inches. In Stock.

Codice articolo __0821844296

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• Titolo: The Ricci Flow: Techniques and Applications Part II: Analytical Aspects
• Editore: Amer Mathematical Society
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0821844296
• ISBN 13: 9780821844298
• Rilegatura: Hardcover
• Condizione: Brand New
• Peso: 1,04 chilogrammi

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Riassunto

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)