Showing math.DGShow all
2 papers · 1 filter
math.DG2026
Hermitian manifolds with nonpositive holomorphic sectional curvature
Kai Tang
We study compact Kähler manifolds admitting Hermitian metrics with nonpositive holomorphic sectional curvature. We prove that the canonical bundle of such a manifold is nef, removi…
math.DG2024
On Hermitian manifolds with vanishing curvature
Kyle Broder, Kai Tang
We show that Hermitian metrics with vanishing holomorphic curvature on compact complex manifolds with pseudoeffective canonical bundle are conformally balanced. Pluriclosed metrics…