Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Galaev A. S. Isometry groups of Lobachevskian spaces, similarity transformation groups of Euclidean spaces and Lorentzian holonomy groups. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2005, vol. 5, iss. 1, pp. 3-11. DOI: 10.18500/1816-9791-2005-5-1-3-11, EDN: CYTCBR

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
30.09.2005
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Language: 
Russian
Heading: 
Mathematics
UDC: 
514.764.214, 512.816.3
DOI: 
10.18500/1816-9791-2005-5-1-3-11
EDN: 
CYTCBR

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

Autors: 
Galaev A. S., 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. 

Key words: 
Isometry groups
Lobachevskian spaces
Euclidean spaces
Lorentzian holonomy groups
References: 
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Received: 
17.03.2005
Accepted: 
13.08.2005
Published: 
30.09.2005
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