Closed magnetic geodesics on closed hyperbolic Riemann surfaces

Details Closed magnetic geodesics on closed hyperbolic Riemann surfaces Closed magnetic geodesics on closed hyperbolic Riemann surfaces

2010-09-09

arxiv.org/abs/1009.1723v1

Mathematics

Differential Geometry

29 pages

Scientific paper

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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