The Ricci Flow in Riemannian Geometry

A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem

von Ben Andrews, Christopher Hopper

302 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783642162855
• Sprache: Englisch
• Erscheinungsdatum: 25.11.2010
• Genre: Mathematik/Analysis
• Verlag: Springer Berlin