2012/07/23 by Tristan C. Collins, Collins, Tristan C., Gábor Székelyhidi +1
Mathematics · #53C25 (Primary) 53C55 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C25 #msc:53C55
paper · pdf · doi:10.48550/arxiv.1207.5441
28 pages. Typos fixed
arxiv created 2012/11/06 · arxiv updated 2012/11/07
In this paper we study a generalization of the Kahler-Ricci flow, in which the Ricci form is twisted by a closed, non-negative (1,1)-form. We show that when a twisted Kahler-Einstein metric exists, then this twisted flow converges exponentially. This generalizes a result of Perelman on the convergence of the Kahler-Ricci flow, and it builds on work of Tian-Zhu.