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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    Proceedings of the National Academy of Sciences of the United States of America
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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.
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