Revisiting 3-Sasakian and $G_2$-structures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908474318782464 |
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| author | Salamon, Simon Singhal, Ragini |
| author_facet | Salamon, Simon Singhal, Ragini |
| contents | The algebra of exterior differential forms on a regular 3-Sasakian 7-manifold is investigated, with special reference to nearly-parallel $G_2$ 3-forms. This is applied to the study of 3-forms invariant under cohomogeneity-one actions by $SO(4)$ on the 7-sphere and on Berger's space $SO(5)/SO(3)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19525 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revisiting 3-Sasakian and $G_2$-structures Salamon, Simon Singhal, Ragini Differential Geometry High Energy Physics - Theory 53C25 (Primary) 53C29, 53C30 (Secondary) The algebra of exterior differential forms on a regular 3-Sasakian 7-manifold is investigated, with special reference to nearly-parallel $G_2$ 3-forms. This is applied to the study of 3-forms invariant under cohomogeneity-one actions by $SO(4)$ on the 7-sphere and on Berger's space $SO(5)/SO(3)$. |
| title | Revisiting 3-Sasakian and $G_2$-structures |
| topic | Differential Geometry High Energy Physics - Theory 53C25 (Primary) 53C29, 53C30 (Secondary) |
| url | https://arxiv.org/abs/2412.19525 |