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http://dx.doi.org/10.7858/eamj.2021.021

AN INTRINSIC CRITERION FOR THE TYPE OF AUTOMORPHISMS OF THE UNIT DISC  

Lee, Kang-Hyurk (Lee Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
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Abstract
In this paper, we deal with a problem to determine the type of automorphisms of the unit disc in ℂ in terms of intrinsic geometry. We will characterize the hyperbolicity and parabolicity of automorphism by the distance function of the Poincaré metric.
Keywords
parabolic and hyperbolic automorphisms; the Poincare metric;
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