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

Guangcun Lu

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

Guangcun Lu

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Abstract

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.

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Guangcun Lu. 2000-05-25. Periodic motion of a charge on a manifold in the magnetic fields. https://arxiv.org/abs/math/9905146

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