Closed Magnetic Geodesics on $S^2$

Details Closed Magnetic Geodesics on $S^2$ Closed Magnetic Geodesics on $S^2$

2008-08-29

arxiv.org/abs/0808.4038v4

Mathematics

Differential Geometry

35 pages, added references, corrected typos; added multiplicity result

Scientific paper

We give existence results for simple closed curves with prescribed geodesic
curvature on $S^{2}$, which correspond to periodic orbits of a charge in a
magnetic field.

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