The Ricci Flow in Riemannian Geometry

The Ricci Flow in Riemannian Geometry
Author :
Publisher : Springer Science & Business Media
Total Pages : 306
Release :
ISBN-10 : 9783642162855
ISBN-13 : 3642162851
Rating : 4/5 (55 Downloads)

Book Synopsis The Ricci Flow in Riemannian Geometry by : Ben Andrews

Download or read book The Ricci Flow in Riemannian Geometry written by Ben Andrews and published by Springer Science & Business Media. This book was released on 2011 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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