Approximation results for compact Vaisman manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913456351870976 |
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| author | Angella, Daniele Miceli, Marco Placini, Giovanni |
| author_facet | Angella, Daniele Miceli, Marco Placini, Giovanni |
| contents | We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem of approximating compact regular, respectively quasi-regular, Vaisman metrics by metrics induced by immersions, respectively embeddings, into Hopf manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01182 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Approximation results for compact Vaisman manifolds Angella, Daniele Miceli, Marco Placini, Giovanni Differential Geometry Complex Variables We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem of approximating compact regular, respectively quasi-regular, Vaisman metrics by metrics induced by immersions, respectively embeddings, into Hopf manifolds. |
| title | Approximation results for compact Vaisman manifolds |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2408.01182 |