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

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In 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 added

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Differential Geometry, Symplectic Geometry, 53C15; 58F05; 57R57

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http://salesiana.dossiersoluciones.com/handle/123456789/78548

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9905146
 http://arxiv.org/abs/math/9905146

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arXiv