An Intrinsic Criterion for the Type of Automorphisms of the Unit Disc

An Intrinsic Criterion for the Type of Automorphisms of the Unit Disc

초록

In this paper, we deal with a problem to determine the type of automorphisms of the unit disc in in terms of intrinsic geometry. We will characterize the hyperbolicity and parabolicity of automorphism by the distance function of the Poincar\'e metric.

키워드

parabolic and hyperbolic automorphismsthe Poincar\'e metric
제목
An Intrinsic Criterion for the Type of Automorphisms of the Unit Disc
제목 (타언어)
An Intrinsic Criterion for the Type of Automorphisms of the Unit Disc
저자
이강혁
발행일
2021
저널명
East Asian Mathematical Journal
37
3
페이지
307 ~ 317