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Lorentzian homogeneous spaces admitting a homogeneous structure of type T1+T3

arXiv:math/0504127 · doi:10.1016/j.geomphys.2005.04.016

Abstract

We show that a Lorentzian homogeneous space admitting a homogeneous structure of type T1 + T3 is either a (locally) symmetric space or a singular homogeneous plane wave.

7 pages, Latex2e, a small note and a reference added