2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123329In this paper we prove the Conley conjecture and the almost existence theorem in a neighborhood of a closed nowhere coisotropic submanifold under certain natural assumptions on the ambient symplectic manifold. Essential to the proofs is a displacement principle for such submanifolds. Namely, we show that a topologically displaceable nowhere coisotropic submanifold is also displaceable by a Hamiltonian diffeomorphism, partially extending the well-known non-Lagrangian displacement property.21 pagesSymplectic GeometryDifferential GeometryDynamical Systems53D40; 37J45text