On homogeneous holomorphic conformal structures
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866917657208422400 |
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| author | Belraouti, Mehdi Deffaf, Mohamed Raffed, Yazid Zeghib, Abdelghani |
| author_facet | Belraouti, Mehdi Deffaf, Mohamed Raffed, Yazid Zeghib, Abdelghani |
| contents | We study compact complex manifolds $M$ admitting a conformal holomorphic Riemannian structure invariant under the action of a complex semi-simple Lie group $G$. We prove that if the group $G$ acts transitively and essentially, then $M$ is conformally flat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02527 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On homogeneous holomorphic conformal structures Belraouti, Mehdi Deffaf, Mohamed Raffed, Yazid Zeghib, Abdelghani Differential Geometry We study compact complex manifolds $M$ admitting a conformal holomorphic Riemannian structure invariant under the action of a complex semi-simple Lie group $G$. We prove that if the group $G$ acts transitively and essentially, then $M$ is conformally flat. |
| title | On homogeneous holomorphic conformal structures |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2405.02527 |