G2-structures on Riemannian 7-manifolds are equivalent, via a categorical isomorphism, to octonion algebras over the ring C^∞(M) with isometric norm.
M theory and singularities of exceptional holonomy manifolds
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$G_2$-structures as Octonion Algebras
G2-structures on Riemannian 7-manifolds are equivalent, via a categorical isomorphism, to octonion algebras over the ring C^∞(M) with isometric norm.