The Ricci Flow: Techniques and Applications (Mathematical Surveys and Monographs) (Part II)

and Lei Ni,Feng Luo,Peng Lu,Dan Knopf,Tom Ivey,James Isenberg,Christine Guenther,David Glickenstein,Sun-Chin Chu,Bennett Chow

ISBN 10: 0821844296 / ISBN 13: 9780821844298

Editore: American Mathematical Society, 2007

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Codice articolo S_335287900

Dati bibliografici

• 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: Hardcover
• Condizione: Good

Descrizione articolo

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)