Periodic orbits of Hamiltonian flows near symplectic critical submanifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78228In this paper we produce a lower bound for the number of periodic orbits of certain Hamiltonian vector fields near Bott-nondegenerate symplectic critical submanifolds. This result is then related to the problem of finding closed orbits of the motion of a charged low energy particle on a Riemannian manifold under the influence of a magnetic fieldDifferential GeometrySymplectic GeometryPeriodic orbits of Hamiltonian flows near symplectic critical submanifoldstext