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Some Cohomology Classes in Principal Fiber Bundles and Their Application to Riemannian Geometry

We define some new global invariants of a fiber bundle with a connection. They are cohomology classes in the principal fiber bundle that are defined when certain characteristic curvature forms vanish. In the case of the principal tangent bundle of a riemannian manifold, they are invariant under a co...

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Detalhes bibliográficos
Main Authors: Chern, Shiing-Shen, Simons, James
Formato: Artigo
Idioma:Inglês
Publicado em: 1971
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Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC389044/
https://ncbi.nlm.nih.gov/pubmed/16591916
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