The Ricci Flow: Techniques and Applications: Analytic Aspects (Mathematical Surveys and Monographs, 144, Band 144) - Hardcover

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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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