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${\mathrm G}_2$-structures with parallel skew-symmetric torsion

math.DG · 2025-10-03 · unverdicted · novelty 6.0

Classification of 7D Riemannian manifolds with parallel skew-symmetric torsion and G2-holonomy, up to naturally reductive spaces and nearly parallel G2-structures, extending Friedrich's cocalibrated work.

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  • ${\mathrm G}_2$-structures with parallel skew-symmetric torsion math.DG · 2025-10-03 · unverdicted · none · ref 13

    Classification of 7D Riemannian manifolds with parallel skew-symmetric torsion and G2-holonomy, up to naturally reductive spaces and nearly parallel G2-structures, extending Friedrich's cocalibrated work.