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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2005, Volume 5, Issue 1-2, Pages 3–11
(Mi isu670)
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Mathematics
Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups
A. S. Galaev Saratov State University
Abstract:
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.
Citation:
A. S. Galaev, “Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups”, Izv. Saratov Univ. Math. Mech. Inform., 5:1-2 (2005), 3–11
Linking options:
https://www.mathnet.ru/eng/isu670 https://www.mathnet.ru/eng/isu/v5/i1/p3
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