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An Introduction to the Kähler-Ricci Flow

An Introduction to the Kähler-Ricci Flow

Paperback

Series: Lecture Notes in Mathematics, Book 2086

General MathematicsGeometry

ISBN10: 3319008188
ISBN13: 9783319008189
Publisher: Springer
Published: Oct 14 2013
Pages: 333
Weight: 1.07
Height: 0.72 Width: 6.14 Depth: 9.21
Language: English

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).

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General Mathematics