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

Indranil Biswas, Vamsi Pritham Pingali

Published 2017-11-20Version 1

A vector bundle on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. Nori proved that a vector bundle E on X 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.