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The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem (Lecture Notes in Mathematics)

The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem (Lecture Notes in Mathematics)

by Christopher Hopper (Author), Ben Andrews (Author)

  • New

    Paperback 2010

    $64.44
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 Boehm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.

$64.44

Quantity

10 in stock

More Information

Format: Paperback
 Pages: 286
 Edition: 1st Edition.
 Publisher: Springer
Published: 25 Nov 2010
ISBN 10: 3642162851
ISBN 13: 9783642162855

Media Reviews

From the reviews:

The book is dedicated almost entirely to the analysis of the Ricci flow, viewed first as a heat type equation hence its consequences, and later from the more recent developments due to Perelman's monotonicity formulas and the blow-up analysis of the flow which was made thus possible. ... is very enjoyable for specialists and non-specialists (of curvature flows) alike. (Alina Stancu, Zentralblatt MATH, Vol. 1214, 2011)