An introduction to Ricci flow suitable for graduate students and research mathematicians.

This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory

The Ricci flow is a powerful technique that integrates geometry, topology, and analysis. Intuitively, the idea is to set up a PDE that evolves a metric accordin

Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students a

This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence