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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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Conformal and cp types of surfaces of class $\mathcal {S}$
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by Byung-Geun Oh PDF
Proc. Amer. Math. Soc. 143 (2015), 2935-2947 Request permission

Abstract:

In this paper we describe how to define the circle packing (cp) type (either cp parabolic or cp hyperbolic) of a Riemann surface of class $\mathcal {S}$, and study the relation between this type and the conformal type of the surface.
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Additional Information
  • Byung-Geun Oh
  • Affiliation: Department of Mathematics Education, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul 133-791, Korea
  • Email: bgoh@hanyang.ac.kr
  • Received by editor(s): July 2, 2013
  • Received by editor(s) in revised form: February 4, 2014
  • Published electronically: February 11, 2015
  • Additional Notes: This work was supported by the research fund of Hanyang University (HY-2009-N) and by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology(2010-0004113).
  • Communicated by: Jeremy T. Tyson
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 2935-2947
  • MSC (2010): Primary 30F20, 52C26
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12469-0
  • MathSciNet review: 3336618