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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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Detalles Bibliográficos
Publicado en:Proc Natl Acad Sci U S A
Autores principales: Chern, Shiing-Shen, Simons, James
Formato: Artigo
Lenguaje:Inglês
Publicado: National Academy of Sciences 1971
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Acceso en línea:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC389044/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591916/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.68.4.791
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