9783319008196
IR
EN-52382
انگلیسی
IR
An Introduction to the K?nhler-Ricci Flo
[Book]
:[delta
/ edited by Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj
Cham
: Springer International Publishing :Imprint: Springer,
, 2013.
VIII, 333 p. 10 illus., online resource.
(Lecture Notes in Mathematics,0075-8434
; 2086)
Print
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 K?nhler-Ricci flow and its current state-of-the-art. While several excellent books on K?nhler-Einstein geometry are available, there have been no such works on the K?nhler-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 Poincar?ش conjecture. When specialized for K?nhler manifolds, it becomes the K?nhler-Ricci flow, and reduces to a scalar PDE (parabolic complex Monge-Amp?سre equation). As a spin-off of his breakthrough, G. Perelman proved the convergence of the K?nhler-Ricci flow on K?nhler-Einstein manifolds of positive scalar curvature (Fano manifolds). Shortly after, G. Tian and J. Song discovered a complex analogue of Perelman's ideas: the K?nhler-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
The (real) theory of fully non linear parabolic equations -- The KRF on positive Kodaira dimension K?nhler manifolds -- The normalized K?nhler-Ricci flow on Fano manifolds -- Bibliography.?╗╣
Lecture Notes in Mathematics,0075-8434
2086
Mathematics
Differential equations, partial
Global differential geometry
Electronic books
E-BOOK
Boucksom, Sebastien.
Eyssidieux, Philippe
Guedj, Vincent
SpringerLink (Online service)
ایران
9783319008189.pdf
عادی
عادی
9783319008189.pdf
متن
old catalog
p
BL
1
a
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