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http://dx.doi.org/10.11568/kjm.2022.30.4.643

AFFINE HOMOGENEOUS DOMAINS IN THE COMPLEX PLANE  

Kang-Hyurk, Lee (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
Publication Information
Korean Journal of Mathematics / v.30, no.4, 2022 , pp. 643-652 More about this Journal
Abstract
In this paper, we will describe affine homogeneous domains in the complex plane. For this study, we deal with the Lie algebra of infinitesimal affine transformations, a structure of the hyperbolic metric involved with affine automorphisms. As a consequence, an affine homogeneous domain is affine equivalent to the complex plane, the punctured plane or the half plane.
Keywords
Hyperbolic metric; Affine automorphism groups; Poincare disc model;
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