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  • 1 Georgia State University Department of Mathematics and Statistics Atlanta GA 30303 U.S.A. Atlanta GA 30303 U.S.A.
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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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