Caratheodory sets in the tridisk
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915279126134784 |
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| author | Kosinski, Lukasz McCarthy, John E. |
| author_facet | Kosinski, Lukasz McCarthy, John E. |
| contents | We characterize all algebraic subsets of the tridisk that are Caratheodory sets, that is the intrinsic Caratheodory metric on the set equals the Caratheodory metric for the tridisk. We show that such sets are either retracts, or are isomorphic to one particular exceptional set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05746 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Caratheodory sets in the tridisk Kosinski, Lukasz McCarthy, John E. Complex Variables 32F45 We characterize all algebraic subsets of the tridisk that are Caratheodory sets, that is the intrinsic Caratheodory metric on the set equals the Caratheodory metric for the tridisk. We show that such sets are either retracts, or are isomorphic to one particular exceptional set. |
| title | Caratheodory sets in the tridisk |
| topic | Complex Variables 32F45 |
| url | https://arxiv.org/abs/2505.05746 |