Pseudo-Effective Vector Bundles with Vanishing First Chern Class on Astheno-K?hler Manifolds

32L05%32Q99; Let E be a holomophic vector bundle over a compact Astheno-K?hler manifold(M,ω).The authors would prove that E is a numerically flat vector bundle if E is pseudo-effective and the first Chern class cBC1(E)is zero.

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Bibliographic Details
Published in数学年刊B辑（英文版） Vol. 44; no. 6; pp. 819 - 826
Main Authors Yong CHEN, Xi ZHANG
Format Journal Article
LanguageEnglish
Published School of Mathematics and Statistics,Nanjing University of Science and Technology,Nanjing 210094,China 2023
Subjects
Astheno-K?hler
Pseudo-effective
Numerically flatness
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ISSN0252-9599
DOI10.1007/s11401-023-0046-5

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Summary:32L05%32Q99; Let E be a holomophic vector bundle over a compact Astheno-K?hler manifold(M,ω).The authors would prove that E is a numerically flat vector bundle if E is pseudo-effective and the first Chern class cBC1(E)is zero.
ISSN:0252-9599
DOI:10.1007/s11401-023-0046-5