Exact G$_2$-structures on compact quotients of Lie groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866929655051714560 |
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| author | Fino, Anna Martín-Merchán, Lucía Raffero, Alberto |
| author_facet | Fino, Anna Martín-Merchán, Lucía Raffero, Alberto |
| contents | We show that the compact quotient $Γ\backslash\mathrm{G}$ of a seven-dimensional simply connected Lie group $\mathrm{G}$ by a co-compact discrete subgroup $Γ\subset\mathrm{G}$ does not admit any exact $\mathrm{G}_2$-structure which is induced by a left-invariant one on $\mathrm{G}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_11664 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Exact G$_2$-structures on compact quotients of Lie groups Fino, Anna Martín-Merchán, Lucía Raffero, Alberto Differential Geometry We show that the compact quotient $Γ\backslash\mathrm{G}$ of a seven-dimensional simply connected Lie group $\mathrm{G}$ by a co-compact discrete subgroup $Γ\subset\mathrm{G}$ does not admit any exact $\mathrm{G}_2$-structure which is induced by a left-invariant one on $\mathrm{G}$. |
| title | Exact G$_2$-structures on compact quotients of Lie groups |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2108.11664 |