Hermitian manifolds with quasi-negative curvature

Hermitian manifolds with quasi-negative curvature

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 l...

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Veröffentlicht in:Mathematische annalen 2021-06, Vol.380 (1-2), p.733-749
1. Verfasser: Lee, Man-Chun
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-020-01997-4