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The intrinsic torsion of SU(3) and G2 structures

Simon Chiossi, Simon Salamon

math.DGarXiv: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 G2 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 G2.

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