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Affine homogeneous domains in the complex planeAffine homogeneous domains in the complex plane
- Other Titles
- Affine homogeneous domains in the complex plane
- Authors
- 이강혁
- Issue Date
- Dec-2022
- Publisher
- 강원경기수학회
- Keywords
- Hyperbolic metric; Affine automorphism groups; Poincare disc model
- Citation
- Korean Journal of Mathematics, v.30, no.4, pp 643 - 652
- Pages
- 10
- Indexed
- SCOPUS
ESCI
KCI
- Journal Title
- Korean Journal of Mathematics
- Volume
- 30
- Number
- 4
- Start Page
- 643
- End Page
- 652
- ISSN
- 1976-8605
2288-1433
- 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.
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