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

by Ben Andrews, Christopher Hopper, Christopher Hopper

Book Overview

1 Introduction.- 2 Background Material.- 3 Harmonic Mappings.- 4 Evolution of the Curvature.- 5 Short-Time Existence.- 6 Uhlenbeck's Trick.- 7 The Weak Maximum Principle.- 8 Regularity and Long-Time Existence.- 9 The Compactness Theorem for Riemannian Manifolds.- 10 The F-Functional and Gradient Flows.- 11 The W-Functional and Local Noncollapsing.- 12 An Algebraic Identity for Curvature Operators.- 13 The Cone Construction of B?hm and Wilking.- 14...

• Format: Paperback
• Language: English
• ISBN: 3642162851
• ISBN13: 9783642162855
• Release Date: November 2010
• Publisher: Springer
• Length: 302 Pages
• Weight: 1.00 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"