Abstract
One establishes the connection between Cartan triples and Riemann–Lie foliations. Based on the Cartan triple method, one shows that a five dimensional strictly locally homogeneous space is locally isometric to a Kowalski space.
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Patrangenaru, V. 5 dimensional strictly locally homogeneous Riemannian manifolds. Periodica Mathematica Hungarica 45, 123–129 (2002). https://doi.org/10.1023/A:1022358332312
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DOI: https://doi.org/10.1023/A:1022358332312