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A simple method for the boundary estimate of Poincaré metric on C-{0,1}*
Received date: 2011-12-28
Revised date: 2012-05-02
Online published: 2012-05-02
Supported by
Supported by NSFC(11001148, 10826073, 10901161), President Fund of GUCAS, and BJJW(Z2011-008)
We give a boundary estimate of Poincaré metric on C-{0, 1} using a simple direct method, which does not involve Ahlfors's Schwarz lemma about ultrahyperbolic metrics, harmonic analysis, or modular functions.
Key words： covering maps; hyperbolic domains; Poincaré; metric; Schwarz-Pick lemma; boundary estimate
DENG Fu-Sheng , LIU Wei-Ming . A simple method for the boundary estimate of Poincaré metric on C-{0,1}*[J]. Journal of University of Chinese Academy of Sciences, 2013 , 30(2) : 156 -158 . DOI: 10.7523/j.issn.1002-1175.2013.02.002
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