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Item Details
| Title:
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THE RICCI FLOW: TECHNIQUES AND APPLICATIONS
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| Volume: |
Part III |
| By: |
Bennett Chow |
| Format: |
Hardback |
| List price:
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£113.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0821846612 |
| ISBN 13: |
9780821846612 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 May, 2010 |
| Series: |
Mathematical Surveys and Monographs 163 |
| Pages: |
517 |
| Synopsis: |
The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject, with an emphasis on the geometric and analytic aspects. The topics include Perelman's entropy functional, point picking methods, aspects of Perelman's theory of kappa -solutions including the kappa -gap theorem, compactness theorem and derivative estimates, Perelman's pseudolocality theorem, and aspects of the heat equation with respect to static and evolving metrics related to Ricci flow. In the appendices, we review metric and Riemannian geometry including the space of points at infinity and Sharafutdinov retraction for complete noncompact manifolds with nonnegative sectional curvature. As in the previous volumes, the authors have endeavored, as much as possible, to make the chapters independent of each other. The book makes advanced material accessible to graduate students and nonexperts.It includes a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors give the appropriate references so that the reader may further pursue the statements and proofs of the various results. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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