On the G2 bundle of a Riemannian 4-manifold

@article{Albuquerque2010OnTG,
  title={On the G2 bundle of a Riemannian 4-manifold},
  author={R. Albuquerque},
  journal={Journal of Geometry and Physics},
  year={2010},
  volume={60},
  pages={924-939}
}
  • R. Albuquerque
  • Published 2010
  • Mathematics
  • Journal of Geometry and Physics
We study the natural G2 structure on the unit tangent sphere bundle SM of any given orientable Riemannian 4-manifold M, as was discovered in Albuquerque and Salavessa (2009,2010) [9,10]. A name is proposed for the space. We work in the context of metric connections, or so-called geometry with torsion, and describe the components of the torsion of the connection which imply certain equations of the G2 structure. This article is devoted to finding the G2 torsion tensors which classify our… Expand
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References

SHOWING 1-10 OF 32 REFERENCES
The G2 sphere of a 4-manifold
  • 13
  • PDF
Riemannian manifolds with structure groupG2
  • 302
Geometric structures of vectorial type
  • 16
  • PDF
Compact Manifolds with Special Holonomy
  • 1,003
Some remarks on G2-structures
  • 236
...
1
2
3
4
...