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.
Bryant.Some remarks onG 2-structures, Proceedings of G¨ okova Geometry-Topology Conference 2005, 75—109, G¨ okova Geometry/Topology Conference (GGT), G¨ okova
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${\mathrm G}_2$-structures with parallel skew-symmetric torsion
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.