/ edited by Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham
نام ناشر، پخش کننده و غيره
: Springer International Publishing :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
VIII, 333 p. 10 illus., online resource.
فروست
عنوان فروست
(Lecture Notes in Mathematics,0075-8434
مشخصه جلد
; 2086)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Print
یادداشتهای مربوط به مندرجات
متن يادداشت
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
متن يادداشت
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.?╗╣
فروست (داده ارتباطی)
عنوان
Lecture Notes in Mathematics,0075-8434
شماره جلد
2086
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Differential equations, partial
موضوع مستند نشده
Global differential geometry
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
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