2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96168We consider a Hamiltonian torus action on a compact connected symplectic manifold M. For a certain class of Lagrangian submanifolds Q of M we show that the image of Q under the momentum map is convex. As an application we complete the symplectic proof of Kostant's non-linear convexity theorem.21 pages; additional comments added. To appear in TAMSSymplectic Geometrytext