Closed magnetic geodesics on closed hyperbolic Riemann surfaces

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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Bibliographic Details
Main Author: Schneider, Matthias (Author)
Format: Article (Journal)
Language:English
Published: 2012
In: Proceedings of the London Mathematical Society
Year: 2012, Volume: 105, Issue: 2, Pages: 424-446
ISSN:1460-244X
DOI:10.1112/plms/pds013
Online Access:Verlag, Volltext: http://dx.doi.org/10.1112/plms/pds013
Verlag, Volltext: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms/pds013
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Author Notes:Matthias Schneider
Description
Summary: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.
Item Description:Published online 3 April 2012
Gesehen am 28.06.2016
Physical Description:Online Resource
ISSN:1460-244X
DOI:10.1112/plms/pds013