Infinite families of homogeneous Bismut Ricci flat manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866915087921446912 |
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| author | Podestà, Fabio Raffero, Alberto |
| author_facet | Podestà, Fabio Raffero, Alberto |
| contents | Starting from compact symmetric spaces of inner type, we provide infinite families of compact homogeneous spaces carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order $4$ and (up to coverings) can be realized as minimal submanifolds of the Bismut flat model spaces, namely compact Lie groups. This construction generalizes the standard Cartan embedding of symmetric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_12690 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Infinite families of homogeneous Bismut Ricci flat manifolds Podestà, Fabio Raffero, Alberto Differential Geometry High Energy Physics - Theory Mathematical Physics Starting from compact symmetric spaces of inner type, we provide infinite families of compact homogeneous spaces carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order $4$ and (up to coverings) can be realized as minimal submanifolds of the Bismut flat model spaces, namely compact Lie groups. This construction generalizes the standard Cartan embedding of symmetric spaces. |
| title | Infinite families of homogeneous Bismut Ricci flat manifolds |
| topic | Differential Geometry High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2205.12690 |