The K\"ahler-Ricci flow on manifolds with negative holomorphic curvature
Differential Geometry
2018-05-10 v1
Abstract
We study the behaviour of the normalized K\"ahler-Ricci flow on complete K\"ahler manifolds of negative holomorphic sectional curvature. We show that the flow exists for all time and converges to a K\"ahler-Einstein metric of negative scalar curvature, recovering a result of Wu and Yau.
Keywords
Cite
@article{arxiv.1805.03562,
title = {The K\"ahler-Ricci flow on manifolds with negative holomorphic curvature},
author = {Freid Tong},
journal= {arXiv preprint arXiv:1805.03562},
year = {2018}
}