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arXiv · 2110.04930

Odd-dimensional solvmanifolds are contact

Christoph Bock
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Abstract

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 $\Gamma \backslash G$ is contact, where $\Gamma$ is a lattice in a connected and simply-connected solvable Lie group G of odd dimension.

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Christoph Bock. 2021-10-10. Odd-dimensional solvmanifolds are contact. https://doi.org/10.1016/j.topol.2024.108841

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