The generalized Kahler Ricci flow

[摘要] In this paper, we study a generalized Kahler Ricci flow, in which the Ricci term Ric is replaced by Ric - theta, where theta is a closed real semi-positive (1, 1) form. We first introduce the generalized functionals w(theta) and mu(theta), and study their monotonicity along the generalized Kahler Ricci flow, then extend some of Perelman's estimates to the generalized Kahler Ricci flow. We also study the asymptotic behavior of the generalized Ricci potential. (C) 2013 Elsevier Inc. All rights reserved.

[发布日期] 2013-12-15

[关键词] Convergence;Generalized Kahler Ricci flow;Generalized w(theta) functional;Generalized Ricci potential;Uniform bound