Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Riemannian geometry background
- 3 The maximum principle
- 4 Comments on existence theory for parabolic PDE
- 5 Existence theory for the Ricci flow
- 6 Ricci flow as a gradient flow
- 7 Compactness of Riemannian manifolds and flows
- 8 Perelman's W entropy functional
- 9 Curvature pinching and preserved curvature properties under Ricci flow
- 10 Three–manifolds with positive Ricci curvature, and beyond
- A Connected sum
- References
- Index
8 - Perelman's W entropy functional
Published online by Cambridge University Press: 03 May 2010
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Riemannian geometry background
- 3 The maximum principle
- 4 Comments on existence theory for parabolic PDE
- 5 Existence theory for the Ricci flow
- 6 Ricci flow as a gradient flow
- 7 Compactness of Riemannian manifolds and flows
- 8 Perelman's W entropy functional
- 9 Curvature pinching and preserved curvature properties under Ricci flow
- 10 Three–manifolds with positive Ricci curvature, and beyond
- A Connected sum
- References
- Index
- Type
- Chapter
- Information
- Lectures on the Ricci Flow , pp. 71 - 87Publisher: Cambridge University PressPrint publication year: 2006