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
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