2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112770We study generalized Kaehler manifolds for which the corresponding complex structures commute and classify completely the compact generalized Kaehler four-manifolds for which the induced complex structures yield opposite orientations.20 pages, typos corrected, presentation improvedDifferential Geometry53C15Generalized Kaehler manifolds with split tangent bundletext