On the Kahler Ricci flow on projective manifolds of general type
Differential Geometry
2015-01-20 v1
Abstract
We consider the K\"ahler Ricci flow on a smooth minimal model of general type, we show that if the Ricci curvature is uniformly bounded below along the K\"ahler-Ricci flow, then the diameter is uniformly bounded. As a corollary we show that under the Ricci curvature lower bound assumption, the Gromov-Hausdorff limit of the flow is homeomorphic to the canonical model. Moreover, we can give a purely analytic proof of a recent result of Tosatti-Zhang (\cite{TZ}) that if the canonical line bundle is big and nef, but not ample, then the flow is of Type IIb.
Keywords
Cite
@article{arxiv.1501.04239,
title = {On the Kahler Ricci flow on projective manifolds of general type},
author = {Bin Guo},
journal= {arXiv preprint arXiv:1501.04239},
year = {2015}
}