2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79478We show that any non-Kahler, almost Kahler 4-manifold for which both the Ricci and the Weyl curvatures have the same algebraic symmetries as they have for a Kahler metric is locally isometric to the (only) proper 3-symmetric 4-dimensional space described by O. Kowalski.LaTex file, 25 pages, typos corrected, improved presentation, accepted in Ann. Global Anal. GeomDifferential Geometry53B20; 53C15; 53C25text