Title:
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THE RICCI FLOW IN RIEMANNIAN GEOMETRY
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By: |
Ben Andrews, Christopher A. Hopper |
Format: |
Paperback |
List price:
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£40.99 |
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ISBN 10: |
3642162851 |
ISBN 13: |
9783642162855 |
Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
Pub. date: |
25 November, 2010 |
Edition: |
2011 ed. |
Series: |
Lecture Notes in Mathematics v. 2011 |
Pages: |
302 |
Description: |
Focusing on Hamilton's Ricci flow, this volume begins with a detailed discussion of the required aspects of differential geometry. The discussion also includes existence and regularity theory, compactness theorems for Riemannian manifolds, and much more. |
Synopsis: |
This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Bohm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem. |
Illustrations: |
11 black & white illustrations, 2 colour illustrations, biography |
Publication: |
Germany |
Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
Returns: |
Returnable |
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