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arXiv · 1009.1723

Closed magnetic geodesics on closed hyperbolic Riemann surfaces

Matthias Schneider
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Abstract

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.

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Matthias Schneider. 2010-09-09. Closed magnetic geodesics on closed hyperbolic Riemann surfaces. https://doi.org/10.1112/plms%2Fpds013

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