A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds

Abstract

A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of X is trivial. We prove the same statement when X is a compact complex manifold admitting a Gauduchon astheno-Kahler metric.

Keywords

• mathematics - algebraic geometry
• mathematics - differential geometry
• 32l10, 53c55, 14d21