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<p>In this paper, we prove that a spiral-like circular-like 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.</p>

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On hyperbolicity of spiral-like circular-like domain

  • 期刊论文

  • 发表日期：

    2025年6月14日

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  • Sanjoy Chatterjee,
  • Golam Mostafa Mondal

摘要

In this paper, we prove that a spiral-like circular-like 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.