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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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Angular self-intersections for closed geodesics on surfaces
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by Mark Pollicott and Richard Sharp PDF
Proc. Amer. Math. Soc. 134 (2006), 419-426 Request permission

Abstract:

In this note we consider asymptotic results for self-intersections of closed geodesics on surfaces for which the angle of the intersection occurs in a given arc. We do this by extending Bonahon’s definition of intersection forms for surfaces.
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Additional Information
  • Mark Pollicott
  • Affiliation: Department of Mathematics, Manchester University, Oxford Road, Manchester M13 9PL, United Kingdom
  • Address at time of publication: Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
  • MR Author ID: 140805
  • Richard Sharp
  • Affiliation: Department of Mathematics, Manchester University, Oxford Road, Manchester M13 9PL, United Kingdom
  • MR Author ID: 317352
  • Received by editor(s): October 15, 2003
  • Received by editor(s) in revised form: September 4, 2004
  • Published electronically: September 20, 2005
  • Additional Notes: The second author was supported by an EPSRC Advanced Research Fellowship
  • Communicated by: Michael Handel
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 419-426
  • MSC (2000): Primary 37C27, 37D20, 37D35, 37D40
  • DOI: https://doi.org/10.1090/S0002-9939-05-08382-6
  • MathSciNet review: 2176010