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arXiv:math/9903100 [math.DG]AbstractReferencesReviewsResources

Periodic orbits of Hamiltonian flows near symplectic critical submanifolds

Ely Kerman

Published 1999-03-17, updated 1999-03-18Version 2

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

Categories: math.DG, math.SG
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