The twisted Kahler-Ricci flow
Differential Geometry
2012-11-07 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1207.5441,
title = {The twisted Kahler-Ricci flow},
author = {Tristan C. Collins and Gábor Székelyhidi},
journal= {arXiv preprint arXiv:1207.5441},
year = {2012}
}
Comments
28 pages. Typos fixed