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M theory and singularities of exceptional holonomy manifolds

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$G_2$-structures as Octonion Algebras

math.RA · 2026-04-17 · unverdicted · novelty 7.0

G2-structures on Riemannian 7-manifolds are equivalent, via a categorical isomorphism, to octonion algebras over the ring C^∞(M) with isometric norm.

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  • $G_2$-structures as Octonion Algebras math.RA · 2026-04-17 · unverdicted · none · ref 1

    G2-structures on Riemannian 7-manifolds are equivalent, via a categorical isomorphism, to octonion algebras over the ring C^∞(M) with isometric norm.