An introduction to the KählerRicci flow
 Language
 English.
 Imprint
 Cham [Switzerland] : Springer, c2013.
 Physical description
 viii, 333 p. : ill. ; 24 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2086.
Access
Available online

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QA3 .L28 V.2086

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QA3 .L28 V.2086
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 The (real) theory of fully non linear parabolic equations. The KRF on positive Kodaira dimension Kahler manifolds. The normalized KahlerRicci flow on Fano manifolds. Bibliography.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 KahlerRicci flow and its current stateoftheart. While several excellent books on KahlerEinstein geometry are available, there have been no such works on the KahlerRicci 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 Poincare conjecture. When specialized for Kahler manifolds, it becomes the KahlerRicci flow, and reduces to a scalar PDE (parabolic complex MongeAmpere equation). As a spinoff of his breakthrough, G. Perelman proved the convergence of the KahlerRicci flow on KahlerEinstein manifolds of positive scalar curvature (Fano manifolds). Shortly after, G. Tian and J. Song discovered a complex analogue of Perelman's ideas: the KahlerRicci 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Sébastien Boucksom, Philippe Eyssidieux, Vincent Guedj, editors.
 Series
 Lecture notes in mathematics, 00758434 ; 2086
 ISBN
 9783319008189
 3319008188