논문KCI 등재
An Intrinsic Criterion for the Type of Automorphisms of the Unit Disc
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In this paper, we deal with a problem to determine the type of automorphisms of the unit disc in $\CC$ in terms of intrinsic geometry. We will characterize the hyperbolicity and parabolicity of automorphism by the distance function of the Poincar\'e metric.
Abstract
In this paper, we deal with a problem to determine the type of automorphisms of the unit disc in $\CC$ in terms of intrinsic geometry. We will characterize the hyperbolicity and parabolicity of automorphism by the distance function of the Poincar\'e metric.
참고문헌 (9)
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- S. Kobayashi, (1998), Springer-Verlag
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- S. Lang, "SL2(R)" (1975), Addison-Wesley Publishing Co
- K. -H. Lee, "On parabolic and hyperbolic automorphisms of the unit disc", Internat. J. Math. Anal, 9, pp.1405~1413 (2015)
- H. Poincare, "Sur l’uniformisation des fonctions analytiques", Acta Math, 31, pp.1~63 (1908)
관련 논문AI추천
A CHARACTERIZATION OF AUTOMORPHISMS OF THE UNIT DISC BY THE POINCARE ́ METRIC문규보, 이강혁영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호A geometric approach to the study of automorphism groupsSteven G. Krantz대한수학회 · 대한수학회보2016 · 제53권 제4호Affine homogeneous domains in the complex plane이강혁강원경기수학회 · 한국수학논문집2022 · 제30권 제4호A generalized Hurwitz metricArstu, Swadesh Kumar Sahoo대한수학회 · 대한수학회보2020 · 제57권 제5호On discreteness of Mobius groupsXi Fu대한수학회 · 대한수학회보2013 · 제50권 제3호A certain K\"ahler potential of the Poincar\'e metric and its characterization이강혁, 최영준, Sungmin Yoo대한수학회 · 대한수학회지2020 · 제57권 제6호
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