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OverviewThis volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, there have been no such works on the Kähler-Ricci flow. The book will serve as a valuable resource for graduate students and researchers in complex differential geometry, complex algebraic geometry and Riemannian geometry, and will hopefully foster further developments in this fascinating area of research. The Ricci flow was first introduced by R. Hamilton in the early 1980s, and is central in G. Perelman’s celebrated proof of the Poincaré conjecture. When specialized for Kähler manifolds, it becomes the Kähler-Ricci flow, and reduces to a scalar PDE (parabolic complex Monge-Ampère equation). As a spin-off of his breakthrough, G. Perelman proved the convergence of the Kähler-Ricci flow on Kähler-Einstein manifolds of positive scalar curvature (Fano manifolds). Shortly after, G. Tian and J. Song discovered a complex analogue of Perelman’s ideas: the Kähler-Ricci flow is a metric embodiment of the Minimal Model Program of the underlying manifold, and flips and divisorial contractions assume the role of Perelman’s surgeries. Full Product DetailsAuthor: Sebastien Boucksom , Philippe Eyssidieux , Vincent GuedjPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2013 ed. Volume: 2086 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 5.212kg ISBN: 9783319008189ISBN 10: 3319008188 Pages: 333 Publication Date: 14 October 2013 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsThis volume comprises contributions to a series of meetings centered around the Kahler-Ricci flow that took place in Toulouse, Marseille, and Luminy in France, as well as in Marrakech, Morocco in 2010 and 2011. ... These contributions cover a wide range of the theory and applications of Kahler-Ricci flow and are a welcome addition to the literature on this topic of great current interest in global analysis. (M. Kunzinger, Monatshefte fur Mathematik, 2015) Author InformationTab Content 6Author Website:Countries AvailableAll regions |