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

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.