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Comptes Rendus. Mathématique
Complex analysis and geometry
A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds
Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 523-531.

In this note, We show that over a compact Hermitian manifold (X,ω) whose metric satisfies ¯ω n-1 = ¯ω n-2 =0, every pseudo-effective vector bundle with vanishing first Chern number is in fact a numerically flat vector bundle.

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Accepted:
Published online:
DOI: 10.5802/crmath.182
Yong Chen 1

1 School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, P.R. China.
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Yong Chen. A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds. Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 523-531. doi : 10.5802/crmath.182. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.182/

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