Closed magnetic geodesics on $S^2$

Matthias Schneider

doi:10.4310/jdg/1304514976

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Home > Journals > J. Differential Geom. > Volume 87 > Issue 2 > Article

February 2011 Closed magnetic geodesics on $S^2$

Matthias Schneider

J. Differential Geom. 87(2): 343-388 (February 2011). DOI: 10.4310/jdg/1304514976

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Abstract

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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Matthias Schneider. "Closed magnetic geodesics on $S^2$." J. Differential Geom. 87 (2) 343 - 388, February 2011. https://doi.org/10.4310/jdg/1304514976