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Chern-Simons forms associated to homogeneous pseudo-Riemannian structures - MaRDI portal

Chern-Simons forms associated to homogeneous pseudo-Riemannian structures (Q2566481)

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Chern-Simons forms associated to homogeneous pseudo-Riemannian structures
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    Chern-Simons forms associated to homogeneous pseudo-Riemannian structures (English)
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    26 September 2005
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    Forms of Chern-Simons type associated to homogeneous pseudo-Riemannian structures are studied. Under certain conditions, these forms define secondary classes which are a measure of the lack of a homogeneous pseudo-Riemannian space to be locally symmetric. Explicit computations of such forms are done in the case of some Lie groups equipped with left-invariant metrics.
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    pseudo-Riemannian structure
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    locally symmetric space
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    Chern-Simons form
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