The Chern-Ricci flow on smooth minimal models of general type
Differential Geometry
2013-07-02 v1
Abstract
We show that on a smooth Hermitian minimal model of general type the Chern-Ricci flow converges to a closed positive current on M. Moreover, the flow converges smoothly to a Kahler-Einstein metric on compact sets away from the null locus of K_M. This generalizes work of Tsuji and Tian-Zhang to Hermitian manifolds, providing further evidence that the Chern-Ricci flow is a natural generalization of the Kahler-Ricci flow.
Keywords
Cite
@article{arxiv.1307.0066,
title = {The Chern-Ricci flow on smooth minimal models of general type},
author = {Matthew Gill},
journal= {arXiv preprint arXiv:1307.0066},
year = {2013}
}