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 Boehm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.
- ISBN:
- 9783642162855
- 9783642162855
-
Category:
- Differential & Riemannian geometry
- Format:
- Paperback
- Publication Date:
-
25-11-2010
- Language:
- English
- Publisher:
- Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Country of origin:
- Germany
- Pages:
- 302
- Dimensions (mm):
- 235x155x17mm
- Weight:
- 1kg
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