K\"ahler manifolds with negative holomorphic sectional curvature, K\"ahler-Ricci flow approach

Abstract

Recently, Wu-Yau and Tosatti-Yang established the connection between the negativity of holomorphic sectional curvatures and the positivity of canonical bundles for compact K\"ahler manifolds. In this short note, we give anothe proof of their theorems by using the K\"ahler-Ricci flow.

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