Holomorphic geometric structures on Oeljeklaus-Toma manifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916374345940992 |
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| author | Biswas, Indranil Dumitrescu, Sorin |
| author_facet | Biswas, Indranil Dumitrescu, Sorin |
| contents | We prove that any holomorphic geometric structure of affine type on an Oeljeklaus- Toma manifold is locally homogeneous. For locally conformal Kähler Oeljeklaus-Toma manifolds we prove that all holomorphic geometric structures, and also all holomorphic Cartan geometries, on them are locally homogeneous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09012 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holomorphic geometric structures on Oeljeklaus-Toma manifolds Biswas, Indranil Dumitrescu, Sorin Differential Geometry Algebraic Geometry We prove that any holomorphic geometric structure of affine type on an Oeljeklaus- Toma manifold is locally homogeneous. For locally conformal Kähler Oeljeklaus-Toma manifolds we prove that all holomorphic geometric structures, and also all holomorphic Cartan geometries, on them are locally homogeneous. |
| title | Holomorphic geometric structures on Oeljeklaus-Toma manifolds |
| topic | Differential Geometry Algebraic Geometry |
| url | https://arxiv.org/abs/2402.09012 |