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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Simple geodesics on Riemann surfaces
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by Troels Jørgensen PDF
Proc. Amer. Math. Soc. 86 (1982), 120-122 Request permission

Abstract:

As observed by Myrberg, on any closed hyperbolic surface the closed geodesics cover a dense subset. Below, it is shown that the simple geodesics cannot cover such parts of a surface which are sufficiently thin.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 120-122
  • MSC: Primary 30F10; Secondary 32G15, 53C22
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0663879-3
  • MathSciNet review: 663879