Kobayashi complete domains in complex manifolds
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908310169452544 |
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| author | Masanta, Rumpa |
| author_facet | Masanta, Rumpa |
| contents | In this paper, we give sufficient conditions for Cauchy-completeness of Kobayashi hyperbolic domains in complex manifolds. The first result gives a sufficient condition for completeness for relatively compact domains in several large classes of manifolds. This follows from our second result, which may be of independent interest, in a much more general setting. This extends a result of Gaussier to the setting of manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07181 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kobayashi complete domains in complex manifolds Masanta, Rumpa Complex Variables 32Q45 (Primary) 53C23, 32Q28 (Secondary) In this paper, we give sufficient conditions for Cauchy-completeness of Kobayashi hyperbolic domains in complex manifolds. The first result gives a sufficient condition for completeness for relatively compact domains in several large classes of manifolds. This follows from our second result, which may be of independent interest, in a much more general setting. This extends a result of Gaussier to the setting of manifolds. |
| title | Kobayashi complete domains in complex manifolds |
| topic | Complex Variables 32Q45 (Primary) 53C23, 32Q28 (Secondary) |
| url | https://arxiv.org/abs/2308.07181 |