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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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Length inequalities for Riemann surfaces
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by A. F. Beardon PDF
Proc. Amer. Math. Soc. 141 (2013), 2699-2702 Request permission

Abstract:

We establish inequalities between the lengths of certain closed loops in the triply punctured sphere and in the twice-punctured disc.
References
  • Lars V. Ahlfors, Complex analysis, 3rd ed., International Series in Pure and Applied Mathematics, McGraw-Hill Book Co., New York, 1978. An introduction to the theory of analytic functions of one complex variable. MR 510197
  • Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-Verlag, New York, 1983. MR 698777, DOI 10.1007/978-1-4612-1146-4
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Additional Information
  • A. F. Beardon
  • Affiliation: CMS, University of Cambridge, Wilberforce Road, Cambridge CB3 OWB, United Kingdom
  • Received by editor(s): October 26, 2011
  • Published electronically: April 3, 2013
  • Communicated by: Mario Bonk
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 2699-2702
  • MSC (2010): Primary 30F45; Secondary 30F35, 20H05, 20H10
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11627-8
  • MathSciNet review: 3056560