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The generalized Ricci flow is a geometric evolution equation which has recently emerged from investigations into mathematical physics, Hitchin's generalized geometry program, and complex geometry. This book gives an introduction to this new area, discusses recent developments, and formulates open questions and conjectures for future study. The text begins with an introduction to fundamental aspects of generalized Riemannian, complex, and Kahler geometry. This leads to an extension of the classical Einstein-Hilbert action, which yields natural extensions of Einstein and Calabi-Yau structures as `canonical metrics' in generalized Riemannian and complex geometry. The book then introduces generalized Ricci flow as a tool for constructing such metrics and proves extensions of the fundamental Hamilton/Perelman regularity theory of Ricci flow. These results are refined in the setting of generalized complex geometry, where the generalized Ricci flow is shown to preserve various integrability conditions, taking the form of pluriclosed flow and generalized Kahler-Ricci flow, leading to global convergence results and applications to complex geometry. Finally, the book gives a purely mathematical introduction to the physical idea of T-duality and discusses its relationship to generalized Ricci flow. The book is suitable for graduate students and researchers with a background in Riemannian and complex geometry who are interested in the theory of geometric evolution equations.
A BESTSELLER IN CANADA -- NOW IN TRADE PAPERBACK! This is the story of an authentic Canadian hero, a man whose courage and determination saved the lives of countless soldiers and civilians in the besieged mountains of Yugoslavia during the Second World War. On the night of May 12, 1944, Major Colin Scott Dafoe -- a surgeon on assignment with Britain's Special Operations Executive -- parachuted into eastern Bosnia. His mission was to provide medical aid to the men and women who were Marshal Tito's Partisans. In a makeshift hospital constructed from parachutes, Dafoe operated on the maimed and wounded. And when an enemy offensive forced the Partisans into the rugged mountains and dense forests, Dafoe and his portable "parachute ward" followed, operating in the field of combat. Based on Dafoe's own record of his wartime mission, and through the reminiscences of his family, friends, and colleagues, "The Parachute Ward" recounts the saga of a truly remarkable man.
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