Periodic orbits of Hamiltonian flows near symplectic critical submanifolds

Details Periodic orbits of Hamiltonian flows near symplectic critical submanifolds Periodic orbits of Hamiltonian flows near symplectic critical submanifolds

1999-03-17

arxiv.org/abs/math/9903100v2

Mathematics

Differential Geometry

Scientific paper

In 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 field

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