2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107352We classify nilmanifolds with an invariant symplectic half-flat structure. We solve the half-flat evolution equations in one example, writing down the resulting Ricci-flat metric. We study the geometry of the orbit space of 6-manifolds with an SU(3)-structure preserved by a U(1) action, giving characterizations in the symplectic half-flat and integrable case.18 pagesDifferential Geometry53C29 (Primary) 17B30, 53D05, 58A10 (Secondary)text