On real bisectional curvature and Kähler-Ricci flow

Tang, Kai

doi:10.1090/proc/14282

On real bisectional curvature and Kähler-Ricci flow
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Proc. Amer. Math. Soc. 147 (2019), 793-798 Request permission

Abstract:

In their recent work, X. Yang and F. Zheng proved the positivity of a canonical line bundle for compact Hermitian manifolds with negative real bisectional curvature, a curvature condition they introduced that generalizes the holomorphic sectional curvature for Kähler manifolds. In this short note, we prove a new parabolic Schwarz lemma for Kähler-Ricci flow, and, as an application, we give an alternative proof to their theorems by using the Kähler-Ricci flow.

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