Characteristic forms and geometric invariants

@article{Chern1974CharacteristicFA,
  title={Characteristic forms and geometric invariants},
  author={Shiing-shen Chern and James Simons},
  journal={Annals of Mathematics},
  year={1974},
  volume={99},
  pages={48-69}
}
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References

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Sur La Cohomologie des Espaces Fibres Principaux et des Espaces Homogenes de Groupes de Lie Compacts
Some cohomology classes in principal fiber bundles and their application to riemannian geometry.
  • S. Chern, J. Simons
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1971
TLDR
Some new global invariants of a fiber bundle with a connection are cohomology classes in the principal fiber bundle that are defined when certain characteristic curvature forms vanish and give necessary conditions for conformal immersion of a riemannian manifold in euclidean space.
Foundation of Differential Geometry
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Lectures on characteristic classes
La cohomologie mod 2 de certains espaces homogènes
Ce travail est consacr6 ~ l'dtude de la cohomologie mod 2 de quelques espaces homog~nes ou fibrds principaux des groupes orthogonaux, pour la plupart classiques. Comme dans [2], nous utilisons…
On Conformally-Flat Spaces in the Large
Non-Riemannian Geometry
Asymmetric connections Symmetric connections Projective geometry of paths The geometry of subspaces Bibliography.