Geodesic
Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 5 (2005) no. 1-2, pp. 3-11 
A. S. Galaev. Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 5 (2005) no. 1-2, pp. 3-11. http://geodesic.mathdoc.fr/item/ISU_2005_5_1-2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the present paper transitively and simply transitively acting isometry groups of Lobachevskian spaces and transitively acting similarity transformation groups of Euclidean spaces are classified. A geometrical proof of the result of L. Berard Bergery and A. Ikemakhen about the classification of weakly-irreducible not irreducible subalgebras of $so(1,n+1)$ is given.

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