On Hyperbolicity of Spirallike Circularlike domain
arXiv:2405.01193
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.
Preliminary draft. Comments are welcome