Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group

P. M. Gadea and J. A. Oubiña

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-8

Abstract:

We consider forms of Chern-Simons type associated to homogeneous pseudo-Riemannian structures. The corresponding secondary classes are a measure of the lack of a homogeneous pseudo-Riemannian space to be locally symmetric. In the present paper, we compute these forms for the oscillator group and the corresponding secondary classes of the compact quotients of this group.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:320506

DOI: 10.1155/S0161171203210164

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