A NOTE ON COMPACT KAHLER MANIFOLDS WITH QUASI-NEGATIVE HOLOMORPHIC SECTIONAL CURVATURE

摘要

A compact Kahler manifold with quasi-negative holomorphic sectional curvature must have ample canonical bundle. This was conjectured by Wu-Yau and is recently proved by the continuity method. In this note, we will give an alternative proof of this result by using the Kahler-Ricci flow.