A note on compact Kähler manifolds with quasi-negative holomorphic sectional curvature

Xia, Wei

doi:10.1090/proc/15336

A note on compact Kähler manifolds with quasi-negative holomorphic sectional curvature
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Proc. Amer. Math. Soc. 149 (2021), 2051-2055 Request permission

Abstract:

A compact Kähler 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 Kähler-Ricci flow.

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