Hermitian manifolds with quasi-negative curvature
Differential Geometry
2020-05-28 v5
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.
Keywords
Cite
@article{arxiv.1810.07325,
title = {Hermitian manifolds with quasi-negative curvature},
author = {Man-Chun Lee},
journal= {arXiv preprint arXiv:1810.07325},
year = {2020}
}
Comments
final version to appear in Math. Ann. arXiv admin note: text overlap with arXiv:1812.04610