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Closed magnetic geodesics on closed hyperbolic Riemann surfaces
prescribed geodesic curvature periodic orbits in magnetic fields closed magnetic geodesics
2010/12/1
We prove the existence of Alexandrov embedded closed magnetic geodesics on closed hyperbolic surfaces. Closed magnetic geodesics correspond to closed curves with prescribed geodesic curvature.
We study the hyperbolicity in the Gromov sense of Riemann surfaces. We deduce the hyperbolicity of a surface from the hyperbolicity of its ``building block components". We also prove the equivalence b...