Periodic motion of a charge on a manifold in the magnetic fields
Differential Geometry
2007-05-23 v5 Symplectic Geometry
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.
Cite
@article{arxiv.math/9905146,
title = {Periodic motion of a charge on a manifold in the magnetic fields},
author = {Guangcun Lu},
journal= {arXiv preprint arXiv:math/9905146},
year = {2007}
}
Comments
23 pages, LaTeX, a serious error is corrected and some new results are added