Odd-dimensional solvmanifolds are contact

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.

References in corpus (1)

• The solution on the geography-problem of non-formal compact (almost) contact manifolds