2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71106We study conditions for the integrability of the distribution defined on a regular Poisson manifold as the orthogonal complement (with respect to some (pseudo)-Riemannian metric) to the tangent spaces of the leaves of a symplectic foliation. Examples of integrability and non-integrability of this distribution are provided.19 pagesSymplectic GeometryDifferential Geometry53D17, 58A30, 53B21text