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

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

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

The generalized Ricci flow is a geometric evolution equation which has recently emerged from investigations into mathematical physics, Hitchin's generalized geo

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