2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71145Given a Kaehlerian holomorphic fiber bundle whose fiber is a compact homogeneous Kaehler manifold, we describe the perturbed Hermitian-Einstein equations relative to certain holomorphic vector bundles. With respect to special metrics on the holomorphic bundles, there is a dimensional reduction procedure which reduces these equations to a system of equations on the base, known as the twisted coupled vortex equations.13 pagesDifferential Geometry58D27, 22B40, 32L10, 58G10, 53C07text