The G2 sphere of a 4-manifold

@article{Albuquerque2006TheGS,
  title={The G2 sphere of a 4-manifold},
  author={R. Albuquerque and I. Salavessa},
  journal={Monatshefte f{\"u}r Mathematik},
  year={2006},
  volume={158},
  pages={335-348}
}
We bring to light a G2 structure existing on the unit sphere tangent bundle SM of any given orientable Riemannian 4-manifold M. The associated 3-form φ is co-calibrated if, and only if, M is an Einstein manifold—a result which leads to new examples of co-calibrated G2 spaces. We hope to be contributing both to the knowledge of special geometries and to the study of 4-manifolds. 
13 Citations
On the G2 bundle of a Riemannian 4-manifold
  • 12
  • PDF
Variations of gwistor space
  • 6
  • PDF
WEIGHTED METRICS ON TANGENT SPHERE BUNDLES
  • 9
  • PDF
Intrinsic Riemannian geometry of 3-dimensional manifolds
On the characteristic connection of gwistor space
  • 5
  • PDF
On the characteristic torsion of gwistor space
Riemannian problems with a fundamental differential system
  • PDF
Riemannian Questions with a Fundamental Differential System
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References

SHOWING 1-10 OF 25 REFERENCES
Riemannian manifolds with structure groupG2
  • 302
SPECIAL METRICS IN G2 GEOMETRY
  • 2
  • PDF
Killing spinor equations in dimension 7 and geometry of integrable G2-manifolds
  • 110
  • PDF
SOLVMANIFOLDS WITH INTEGRABLE AND NON-INTEGRABLE G2 STRUCTURES
  • 9
  • PDF
Cohomogeneity-one G2-structures
  • 48
  • PDF
On nearly parallel G2-structures
  • 181
  • Highly Influential
  • PDF
Stable forms and special metrics
  • 356
  • PDF
Metrics with exceptional holonomy
  • 538
Irreducible SO(3) geometry in dimension five
  • 37
  • PDF
...
1
2
3
...