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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2005, Volume 5, Issue 1-2, Pages 3–11 (Mi isu670)  

Mathematics

Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups

A. S. Galaev

Saratov State University
References:
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.
Document Type: Article
UDC: 514.764.214, 512.816.3
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Gal05}
\by A.~S.~Galaev
\paper Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2005
\vol 5
\issue 1-2
\pages 3--11
\mathnet{http://mi.mathnet.ru/isu670}
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