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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 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

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.

UDC: 514.764.214, 512.816.3



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