期刊全称 | An Introduction to the Kähler-Ricci Flow | 影响因子2023 | Sebastien Boucksom,Philippe Eyssidieux,Vincent Gue | 视频video | | 发行地址 | An educational and up-to-date reference work on non-linear parabolic partial differential equations.The only book currently available on the Kähler-Ricci flow.The first book to present a complete proo | 学科分类 | Lecture Notes in Mathematics | 图书封面 |  | 影响因子 | .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 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 | Pindex | Book 2013 |
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