Regularity of K\"ahler-Ricci flows on Fano manifolds
Differential Geometry
2013-10-23 v1
Abstract
In this paper, we will establish a regularity theory for the K\"ahler-Ricci flow on Fano -manifolds with Ricci curvature bounded in -norm for some . Using this regularity theory, we will also solve a long-standing conjecture for dimension 3. As an application, we give a new proof of the Yau-Tian-Donaldson conjecture for Fano 3-manifolds. The results have been announced in \cite{TiZh12b}.
Keywords
Cite
@article{arxiv.1310.5897,
title = {Regularity of K\"ahler-Ricci flows on Fano manifolds},
author = {Gang Tian and Zhenlei Zhang},
journal= {arXiv preprint arXiv:1310.5897},
year = {2013}
}
Comments
Proof of results announced in arXiv:1304.2651v1