Numerically flat holomorphic bundles over non-Kähler manifolds
Numerically flat holomorphic bundles over non-Kähler manifolds
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DOI：
10.1515/crelle-2022-0041
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Xi Zhang
中科院分区：
文献类型：
--
作者：
Chao Li;Yanci Nie;Xi Zhang
Abstract In this paper, we study numerically flat holomorphic vector bundles over a compact non-Kähler manifold X which admits an Astheno–Kähler metric. We prove that numerically flatness is equivalent to approximate Hermitian flatness and the existence of a filtration by sub-bundles whose quotients are Hermitian flat. This gives an affirmative answer to the question proposed by Demailly, Peternell and Schneider.
