The ricci flow in Riemannian geometry a complete proof of the differentiable 1/4-pinching sphere theorem /

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Bibliographic Details
Main Author: Andrews, Ben (Frederick Benjamin)
Corporate Author: SpringerLink (Online service)
Other Authors: Hopper, Christopher
Format: eBook
Language:English
Published: Berlin ; Heidelberg ; New York : Springer, ©2011.
Berlin ; Heidelberg ; New York : [2011]
Series:Lecture notes in mathematics (Springer-Verlag) ; 2011.
Physical Description:
1 online resource (xvii, 296 pages) : illustrations.
Subjects:
Ricci flow.
Geometry, Riemannian.
wiskunde.
mathematics.
differentiaalmeetkunde.
differential geometry.
partial differential equations.
Mathematics (General)
Wiskunde (algemeen)
Online Access:SpringerLink - Click here for access
Contents:
  • 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 Böhm and Wilking
  • 14 Preserving Positive Isotropic Curvature
  • 15 The Final Argument.

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