Hermitian manifolds with quasi-negative curvature

Man-Chun Lee

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arXiv · 1810.07325

Hermitian manifolds with quasi-negative curvature

Man-Chun Lee

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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.

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BibTeX RIS

Man-Chun Lee. 2018-10-17. Hermitian manifolds with quasi-negative curvature. https://arxiv.org/abs/1810.07325

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