**University Lecture Series**

Volume: 53;
2010;
150 pp;
Softcover

MSC: Primary 57;
Secondary 35; 53

Print ISBN: 978-0-8218-4963-7

Product Code: ULECT/53

List Price: $44.00

Individual Member Price: $35.20

**Electronic ISBN: 978-1-4704-1648-5
Product Code: ULECT/53.E**

List Price: $44.00

Individual Member Price: $35.20

#### You may also like

#### Supplemental Materials

# Ricci Flow and Geometrization of 3-Manifolds

Share this page
*John W. Morgan; Frederick Tsz-Ho Fong*

This book is based on lectures given at Stanford University in 2009. The purpose of the lectures and of the book is to give an introductory overview of how to use Ricci flow and Ricci flow with surgery to establish the Poincaré Conjecture and the more general Geometrization Conjecture for 3-dimensional manifolds. Most of the material is geometric and analytic in nature; a crucial ingredient is understanding singularity development for 3-dimensional Ricci flows and for 3-dimensional Ricci flows with surgery. This understanding is crucial for extending Ricci flows with surgery so that they are defined for all positive time. Once this result is in place, one must study the nature of the time-slices as the time goes to infinity in order to deduce the topological consequences.

The goal of the authors is to present the major geometric and analytic results and themes of the subject without weighing down the presentation with too many details. This book can be read as an introduction to more complete treatments of the same material.

#### Table of Contents

# Table of Contents

## Ricci Flow and Geometrization of 3-Manifolds

- Cover Cover11 free
- Title page iii4 free
- Contents v6 free
- Preface ix10 free
- Part I. Overview 112 free
- Lecture 1 314
- Lecture 2 718
- Lecture 3 1324
- Lecture 4 1728
- Lecture 5 2132
- Summary of Part 1 2536
- Part II. Non-collapsing results for Ricci flows 2738
- Lecture 6 2940
- Lecture 7 3344
- Lecture 8 3748
- Lecture 9 4152
- Lecture 10 4556
- Lecture 11 4960
- Lecture 12 5364
- Part III. 𝜅-solutions 5768
- Lecture 13 5970
- Lecture 14 6374
- Lecture 15 6778
- Lecture 16 7384
- Lecture 17 7788
- Lecture 18 8192
- Lecture 19 8596
- Part IV. The canonical neighborhood theorem 89100
- Lecture 20 91102
- Lecture 21 97108
- Lecture 22 101112
- Part V. Ricci flow with surgery 105116
- Lecture 23 107118
- Lecture 24 111122
- Lecture 25 115126
- Lecture 26 121132
- Part VI. Behavior as 𝑡→∞ 125136
- Lecture 27 127138
- Lecture 28 131142
- Lecture 29 135146
- Lecture 30 139150
- Lecture 31 141152
- Lecture 32 145156
- Bibliography 149160
- Back Cover Back Cover1162

#### Readership

Graduate students and research mathematicians interested in differential equations and topology.

#### Reviews

The notes will be useful for readers looking for an overview of the arguments and key ideas, before proceeding to the detailed proofs.

-- Mathematical Reviews