2021/10/10 by Bock, Christoph
#FOS: Mathematics #Primary: 57R17 #Secondary: 53D15 #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2110.04930
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.