Lectures on the Ricci flow [E-Book] / Peter Topping.
Topping, Peter, (author)
Cambridge : Cambridge University Press, 2006
1 online resource (x, 113 pages)
London Mathematical Society lecture note series ; 325
Full Text
Table of Contents:
  • Preface
  • Introduction
  • Riemannian geometry background
  • The maximum princople
  • Comments on existence theory for parabolic PDE
  • Existence theory for the Ricci flow
  • Ricci flow as a gradient flow
  • Compactness of Riemannian manifolds and flows
  • Perelman's w entropy functional
  • Curvature pinching and preserved curvature properties under Ricci flow
  • Three-manifolds with positive Ricci curvature, and beyond.