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

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

1999-05-24

arxiv.org/abs/math/9905146v5

Mathematics

Differential Geometry

23 pages, LaTeX, a serious error is corrected and some new results are added

Scientific paper

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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