Pseudo-Effective Vector Bundles with Vanishing First Chern Class on Astheno-Kähler Manifolds

Abstract

Let E be a holomophic vector bundle over a compact Astheno-Kähler 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 $c_1^{BC}$ (E) is zero.

Keywords

Pseudo-effective / Astheno-Kähler / Numerically flatness

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