• DOI:10.1007/s00605-008-0053-3
Corpus ID: 17401699

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}
}

• R. Albuquerque, I. Salavessa
• Published 2006
• Mathematics
• Monatshefte für Mathematik

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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.