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An Introduction to the Kahler-Ricci Flow (Paperback, 2013 ed.) Loot Price: R3,746
Discovery Miles 37 460
An Introduction to the Kahler-Ricci Flow (Paperback, 2013 ed.): Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj

An Introduction to the Kahler-Ricci Flow (Paperback, 2013 ed.)

Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj

Series: Lecture Notes in Mathematics, 2086

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Loot Price R3,746 Discovery Miles 37 460 | Repayment Terms: R351 pm x 12*

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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 Kahler-Ricci flow and its current state-of-the-art. While several excellent books on Kahler-Einstein geometry are available, there have been no such works on the Kahler-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 Poincare conjecture. When specialized for Kahler manifolds, it becomes the Kahler-Ricci flow, and reduces to a scalar PDE (parabolic complex Monge-Ampere equation).
As a spin-off of his breakthrough, G. Perelman proved the convergence of the Kahler-Ricci flow on Kahler-Einstein manifolds of positive scalar curvature (Fano manifolds). Shortly after, G. Tian and J. Song discovered a complex analogue of Perelman's ideas: the Kahler-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."

General

Imprint: Springer International Publishing AG
Country of origin: Switzerland
Series: Lecture Notes in Mathematics, 2086
Release date: October 2013
First published: 2013
Editors: Sebastien Boucksom • Philippe Eyssidieux • Vincent Guedj
Dimensions: 235 x 155 x 23mm (L x W x T)
Format: Paperback
Pages: 333
Edition: 2013 ed.
ISBN-13: 978-3-319-00818-9
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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LSN: 3-319-00818-8
Barcode: 9783319008189

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