The intrinsic torsion of SU(3) and G_2 structures

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We analyse the relationship between the components of the intrinsic torsion of an SU(3) structure on a 6-manifold and a G_2 structure on a 7-manifold. Various examples illustrate the type of SU(3) structure that can arise as a reduction of a metric with holonomy G_2.
Proc. conf. Differential Geometry Valencia 2001

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