CYT and SKT manifolds with parallel Bismut torsion
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866929597390520320 |
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| author | Brienza, Beatrice Fino, Anna Grantcharov, Gueo |
| author_facet | Brienza, Beatrice Fino, Anna Grantcharov, Gueo |
| contents | In the present paper, we study compact complex manifolds admitting a Hermitian metric which is SKT and CYT and whose Bismut torsion is parallel. We first obtain a characterization of the universal cover of such manifolds as a product of a Kaehler Ricci-flat manifold with a Bismut flat one. Then, using a mapping torus construction, we provide non-Bismut flat examples. The existence of generalized Kaehler structures is also investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | CYT and SKT manifolds with parallel Bismut torsion Brienza, Beatrice Fino, Anna Grantcharov, Gueo Differential Geometry 53C55 (Primary) 53C05, 22E25, 53C30, 53C44 (Secondary) In the present paper, we study compact complex manifolds admitting a Hermitian metric which is SKT and CYT and whose Bismut torsion is parallel. We first obtain a characterization of the universal cover of such manifolds as a product of a Kaehler Ricci-flat manifold with a Bismut flat one. Then, using a mapping torus construction, we provide non-Bismut flat examples. The existence of generalized Kaehler structures is also investigated. |
| title | CYT and SKT manifolds with parallel Bismut torsion |
| topic | Differential Geometry 53C55 (Primary) 53C05, 22E25, 53C30, 53C44 (Secondary) |
| url | https://arxiv.org/abs/2401.07800 |