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- Author: Ben Andrews
- Publisher: Springer
- Year: 2010
- Pages: 302
- ISBN-10: 3642162851
- ISBN-13: 9783642162855
- Format: 15.6 x 23.4 x 1.7 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
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Description
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 Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.
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- Author: Ben Andrews
- Publisher: Springer
- Year: 2010
- Pages: 302
- ISBN-10: 3642162851
- ISBN-13: 9783642162855
- Format: 15.6 x 23.4 x 1.7 cm, minkšti viršeliai
- Language: English English
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 Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.
Reviews