Taut visibility domains are not necessarily Kobayashi complete
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912200293089280 |
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| author | Masanta, Rumpa |
| author_facet | Masanta, Rumpa |
| contents | We answer a question asked recently by Banik in the negative by showing that for each $n\geq 2$, there exists a taut visibility domain in $\mathbb{C}^n$ that is not Kobayashi complete. The domains that we produce are bounded and have boundaries that are very regular away from a single point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07079 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Taut visibility domains are not necessarily Kobayashi complete Masanta, Rumpa Complex Variables 32F45 (Primary) 32Q05, 32Q45 (Secondary) We answer a question asked recently by Banik in the negative by showing that for each $n\geq 2$, there exists a taut visibility domain in $\mathbb{C}^n$ that is not Kobayashi complete. The domains that we produce are bounded and have boundaries that are very regular away from a single point. |
| title | Taut visibility domains are not necessarily Kobayashi complete |
| topic | Complex Variables 32F45 (Primary) 32Q05, 32Q45 (Secondary) |
| url | https://arxiv.org/abs/2407.07079 |