Lectures on the Ricci Flow

Hamilton''s Ricci flow has attracted considerable attention since its introduction in 1982, owing partly to its promise in addressing the Poincaré conjecture and Thurston''s geometrization conjecture. This book gives a concise introduction to the subject with the hindsight of Perelman''s breakthroughs from 2002/2003. After describing the basic properties of, and intuition behind the Ricci flow, co...