Periodic orbits of Hamiltonian flows near symplectic critical submanifolds
Differential Geometry
2007-05-23 v2 Symplectic Geometry
Abstract
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
Keywords
Cite
@article{arxiv.math/9903100,
title = {Periodic orbits of Hamiltonian flows near symplectic critical submanifolds},
author = {Ely Kerman},
journal= {arXiv preprint arXiv:math/9903100},
year = {2007}
}