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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.
Note:
  • To Antonio Naveira on the occasion of his 60th birthday
  • Submitted to J.Diff.Geom.
  • [12]
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    • D.D. Joyce
      • J.Diff.Geom. 26 (1987) 367