2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66519We survey some recent results and constructions of almost-Kähler manifolds whose curvature tensors have certain algebraic symmetries. This is an updated and corrected version of the (to be) published manuscript.30 pages, to appear in `Symplectic and Contact Topology: Interactions and Perspectives', (eds. Y.Eliashberg, B. Khesin, F. Lalonde), Fields Institute Communications Series, AMS, 2003Differential Geometry53B20, 53C25text