
Preface  Preview Material  Table of Contents  Supplementary Material 
University Lecture Series 2010; 150 pp; softcover Volume: 53 ISBN10: 0821849638 ISBN13: 9780821849637 List Price: US$44 Member Price: US$35.20 Order Code: ULECT/53 See also: Ricci Flow and the Sphere Theorem  Simon Brendle Ricci Flow and the Poincaré Conjecture  John Morgan and Gang Tian Hamilton's Ricci Flow  Bennett Chow, Peng Lu and Lei Ni  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 3dimensional manifolds. Most of the material is geometric and analytic in nature; a crucial ingredient is understanding singularity development for 3dimensional Ricci flows and for 3dimensional 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 timeslices 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. 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 


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