On Hyperbolicity of Spirallike Circularlike domain
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929333712453632 |
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| author | Chatterjee, Sanjoy Mondal, Golam Mostafa |
| author_facet | Chatterjee, Sanjoy Mondal, Golam Mostafa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01193 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Hyperbolicity of Spirallike Circularlike domain Chatterjee, Sanjoy Mondal, Golam Mostafa Complex Variables 32F45, 32H02, 32Q02 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. |
| title | On Hyperbolicity of Spirallike Circularlike domain |
| topic | Complex Variables 32F45, 32H02, 32Q02 |
| url | https://arxiv.org/abs/2405.01193 |