Homogeneous 8-manifolds admitting invariant Spin(7)-structures
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Acceso en línea: | |
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| _version_ | 1866913633102987264 |
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| author | Alekseevsky, Dmitri Chrysikos, Ioannis Fino, Anna Raffero, Alberto |
| author_facet | Alekseevsky, Dmitri Chrysikos, Ioannis Fino, Anna Raffero, Alberto |
| contents | We study compact, simply connected, homogeneous 8-manifolds admitting invariant Spin(7)-structures, classifying all canonical presentations G/H of such spaces, with G simply connected. For each presentation, we exhibit explicit examples of invariant Spin(7)-structures and we describe their type, according to Fernández classification. Finally, we analyse the associated Spin(7)-connection with torsion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_00643 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Homogeneous 8-manifolds admitting invariant Spin(7)-structures Alekseevsky, Dmitri Chrysikos, Ioannis Fino, Anna Raffero, Alberto Differential Geometry We study compact, simply connected, homogeneous 8-manifolds admitting invariant Spin(7)-structures, classifying all canonical presentations G/H of such spaces, with G simply connected. For each presentation, we exhibit explicit examples of invariant Spin(7)-structures and we describe their type, according to Fernández classification. Finally, we analyse the associated Spin(7)-connection with torsion. |
| title | Homogeneous 8-manifolds admitting invariant Spin(7)-structures |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1904.00643 |