On the connectedness of the boundary of $q$-complete domains
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914873285279744 |
|---|---|
| author | Andrist, Rafael B. |
| author_facet | Andrist, Rafael B. |
| contents | The boundary of every relatively compact Stein domain in a complex manifold of dimension at least two is connected. No assumptions on the boundary regularity are necessary. The same proofs hold also for $q$-complete domains, and in the context of almost complex manifolds as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11897 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the connectedness of the boundary of $q$-complete domains Andrist, Rafael B. Complex Variables 32F27, 32F10, 32Q60 The boundary of every relatively compact Stein domain in a complex manifold of dimension at least two is connected. No assumptions on the boundary regularity are necessary. The same proofs hold also for $q$-complete domains, and in the context of almost complex manifolds as well. |
| title | On the connectedness of the boundary of $q$-complete domains |
| topic | Complex Variables 32F27, 32F10, 32Q60 |
| url | https://arxiv.org/abs/2407.11897 |