Existence of compatible contact structures on $G_2$-manifolds
Existence of compatible contact structures on $G_2$-manifolds
In this paper, we show the existence of (co-oriented) contact structures on certain classes of G 2 -manifolds, and that these two structures are compatible in certain ways.Moreover, we prove that any seven-manifold with a spin structure (and so any manifold with G 2 -structure) admits an almost contact structure.We …