2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71729We give an intrinsic proof that Vorobjev's first approximation of a Poisson manifold near a symplectic leaf is a Poisson manifold. We also show that Conn's linearization results cannot be extended in Vorobjev's setting.corrected typosSymplectic Geometry53Cxx; 70G45Nonlinearizability of certain Poisson structures near a symplectic leaftext