Lecture Notes in Mathematics: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem

Andrews, Ben; Hopper, Christopher

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.

Details

Published by: Springer

Publication Date: 2010-11-25

Format: Paperback

ISBN-13: 9783642162855

DOI: 10.1007/978-3-642-16286-2

Dimensions: 235cm x155cm

Pages: 302