Conformal and cp types of surfaces of class $\mathcal {S}$
Author:
Byung-Geun Oh
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
Published electronically:
February 11, 2015
MathSciNet review:
3336618
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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
Keywords:
Type problem,
Speiser graph,
circle packing
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
Article copyright:
© Copyright 2015
American Mathematical Society
