Paper · Oct 17, 2018
Hermitian manifolds with quasi-negative curvature
As on arXiv
Abstract
In this work, we show that along a particular choice of Hermitian curvature flow, the non-positivity of Chern-Ricci curvature will be preserved if the initial metric has non-positive bisectional curvature. As an application, we show that the canonical line bundle of a compact Hermitian manifold with nonpositive bisectional curvature and quasi-negative Chern-Ricci curvature is ample.
- Submitted
- Oct 17, 2018
- Last revised
- May 25, 2020 (v5)
- Subjects
- math.DG
Comments: final version to appear in Math. Ann. arXiv admin note: text overlap with arXiv:1812.04610
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