Rd. Diaz et al., Reductive decompositions and Einstein-Yang-Mills equations associated to the oscillator group, J MATH PHYS, 40(7), 1999, pp. 3490-3498
All of the homogeneous Lorentzian structures on the oscillator group equipp
ed with a bi-invariant Lorentzian metric, and then the associated reductive
pairs, are obtained. Some of them are solutions of the Einstein-Yang-Mills
equations. (C) 1999 American Institute of Physics. [S0022-2488(99)00107-3]
.