2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112723In this note we discuss conditions under which a linear connection on a manifold equipped with both a symmetric (Riemannian) and a skew-symmetric (almost-symplectic or Poisson) tensor field will preserve both structures.Differential GeometrySymplectic Geometry70G45;53D17;53D15text