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An Intrinsic Criterion for the Type of Automorphisms of the Unit DiscAn Intrinsic Criterion for the Type of Automorphisms of the Unit Disc
- Other Titles
- An Intrinsic Criterion for the Type of Automorphisms of the Unit Disc
- Authors
- 이강혁
- Issue Date
- 2021
- Publisher
- 영남수학회
- Keywords
- parabolic and hyperbolic automorphisms; the Poincar\' e metric
- Citation
- East Asian Mathematical Journal, v.37, no.3, pp.307 - 317
- Indexed
- KCI
- Journal Title
- East Asian Mathematical Journal
- Volume
- 37
- Number
- 3
- Start Page
- 307
- End Page
- 317
- ISSN
- 1226-6973
- 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.
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