The Kähler-Ricci flow on manifolds with negative holomorphic curvature
arXiv:1805.03562
Abstract
We study the behaviour of the normalized Kähler-Ricci flow on complete Kähler manifolds of negative holomorphic sectional curvature. We show that the flow exists for all time and converges to a Kähler-Einstein metric of negative scalar curvature, recovering a result of Wu and Yau.