Hermitian manifolds with quasi-negative curvature

Man Chun Lee

doi:10.1007/s00208-020-01997-4

Hermitian manifolds with quasi-negative curvature

Man Chun Lee^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this work, we show that along a particular choice of Hermitian curvature flow, the non-positivity of the first Ricci curvature will be preserved if the initial metric has Griffiths non-positive Chern curvature. If in addition, the first Ricci curvature is negative at a point, then the canonical line bundle is ample.

Original language	English (US)
Pages (from-to)	733-749
Number of pages	17
Journal	Mathematische Annalen
Volume	380
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-020-01997-4
State	Published - Jun 2021

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Mathematics(all)

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abstract = "In this work, we show that along a particular choice of Hermitian curvature flow, the non-positivity of the first Ricci curvature will be preserved if the initial metric has Griffiths non-positive Chern curvature. If in addition, the first Ricci curvature is negative at a point, then the canonical line bundle is ample.",

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AB - In this work, we show that along a particular choice of Hermitian curvature flow, the non-positivity of the first Ricci curvature will be preserved if the initial metric has Griffiths non-positive Chern curvature. If in addition, the first Ricci curvature is negative at a point, then the canonical line bundle is ample.

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Hermitian manifolds with quasi-negative curvature

Abstract

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