Abstract
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 also construct explicit almost contact metric structures on manifolds with $G_2$-structures.
Citation
M. Firat Arikan. Hyunjoo Cho. Sema Salur. "Existence of compatible contact structures on $G_2$-manifolds." Asian J. Math. 17 (2) 321 - 334, June 2013.
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