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A CHARACTERIZATION OF AUTOMORPHISMS OF THE UNIT DISC BY THE POINCARE ́ METRIC
A CHARACTERIZATION OF AUTOMORPHISMS OF THE UNIT DISC BY THE POINCARE ́ METRIC
- 문규보;
- 이강혁
초록
Non-trivial automorphisms of the unit disc in the complex plane can be classified by three classes; elliptic, parabolic and hyperbolic automorphisms. This classification is due to a representation in the pro- jective special linear group of the real field, or in terms of fixed points on the closure of the unit disc. In this paper, we will characterize this classi- fication by the distance function of the Poincar ́e metric on the interior of the unit disc.
키워드
the automorphism group; the Poincar ́e metric.
- 제목
- A CHARACTERIZATION OF AUTOMORPHISMS OF THE UNIT DISC BY THE POINCARE ́ METRIC
- 제목 (타언어)
- A CHARACTERIZATION OF AUTOMORPHISMS OF THE UNIT DISC BY THE POINCARE ́ METRIC
- 저자
- 문규보; 이강혁
- 발행일
- 2023-01
- 권
- 39
- 호
- 1
- 페이지
- 11 ~ 21