Odd-dimensional solvmanifolds are contact
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866911496559132672 |
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| author | Bock, Christoph |
| author_facet | Bock, Christoph |
| contents | Bourgeois proved in [5] that odd-dimensional tori admit a contact structure. We shall prove a more general result: Any odd-dimensional parallelisable closed manifold admits a contact structure. This implies that a solvmanifold $Γ\backslash G$ is contact, where $Γ$ is a lattice in a connected and simply-connected solvable Lie group G of odd dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_04930 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Odd-dimensional solvmanifolds are contact Bock, Christoph Symplectic Geometry Primary: 57R17, Secondary: 53D15 Bourgeois proved in [5] that odd-dimensional tori admit a contact structure. We shall prove a more general result: Any odd-dimensional parallelisable closed manifold admits a contact structure. This implies that a solvmanifold $Γ\backslash G$ is contact, where $Γ$ is a lattice in a connected and simply-connected solvable Lie group G of odd dimension. |
| title | Odd-dimensional solvmanifolds are contact |
| topic | Symplectic Geometry Primary: 57R17, Secondary: 53D15 |
| url | https://arxiv.org/abs/2110.04930 |