On Hyperbolicity of Spirallike Circularlike domain

التفاصيل البيبلوغرافية
العنوان: On Hyperbolicity of Spirallike Circularlike domain
المؤلفون: Chatterjee, Sanjoy, Mondal, Golam Mostafa
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, 32F45, 32H02, 32Q02
الوصف: 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.
Comment: Preliminary draft. Comments are welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.01193
رقم الأكسشن: edsarx.2405.01193
قاعدة البيانات: arXiv