English

The intrinsic torsion of SU(3) and G_2 structures

Differential Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0202282,
  title  = {The intrinsic torsion of SU(3) and G_2 structures},
  author = {Simon Chiossi and Simon Salamon},
  journal= {arXiv preprint arXiv:math/0202282},
  year   = {2007}
}

Comments

Proc. conf. Differential Geometry Valencia 2001