The intrinsic torsion of SU(3) and G_2 structures

Details The intrinsic torsion of SU(3) and G_2 structures The intrinsic torsion of SU(3) and G_2 structures

2002-02-26

arxiv.org/abs/math/0202282v1

Differential Geometry, Valencia 2001, World Sci. Publishing, 2002, pp 115-133

Mathematics

Differential Geometry

Proc. conf. Differential Geometry Valencia 2001

Scientific paper

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.

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