On Hyperbolicity of Spirallike Circularlike domain
Complex Variables
2024-05-03 v1
Abstract
In this paper, we prove that a spirallike circularlike domain is Kobayashi hyperbolic if and only if its core is empty. In particular, we show that such a domain is Kobayashi hyperbolic if and only if it is (biholomorphic to) a bounded domain. We also propose a problem in this area.
Keywords
Cite
@article{arxiv.2405.01193,
title = {On Hyperbolicity of Spirallike Circularlike domain},
author = {Sanjoy Chatterjee and Golam Mostafa Mondal},
journal= {arXiv preprint arXiv:2405.01193},
year = {2024}
}
Comments
Preliminary draft. Comments are welcome