Collected Papers on Ricci Flow

The Ricci flow is currently a hot topic at the forefront of mathematics research. The recent developments of Grisha Perelman on Richard Hamilton's program for Ricci flow are exciting. The collection is intended to make readily available, in one book, to a wider audience the work of Hamilton and others on Ricci flow. In the past two decades the Ricci flow, and in particular Richard Hamilton's work in it, has received attention as both having a profound influence on geometric evolution equations and as a possible approach to studying Thurston's Geometrization Conjecture. This selection of papers on the Riemannian Ricci flow is intended for a variety of purposes. The graduate student or researcher unfamiliar with the Ricci flow may use it as an introduction to the Ricci flow quickly leading to current research topics and open problems. Geometers already familiar with the Ricci flow may use it as a handy reference which contains almost all of Richard Hamilton's papers on the subject to date.