The intrinsic torsion of SU(3) and G_2 structures
arXiv:math/0202282
Abstract
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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