Periodic motion of a charge on a manifold in the magnetic fields

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78548In this paper we prove the existence of a periodic motion of a charge on a large class of manifolds under the action of the magnetic fields. Our methods also give a class of closed manifolds whose cotangent bundle contain no the closed exact Lagrangian submanifolds.23 pages, LaTeX, a serious error is corrected and some new results are addedDifferential GeometrySymplectic Geometry53C15; 58F05; 57R57Periodic motion of a charge on a manifold in the magnetic fieldstext