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

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

2004-04-23

arxiv.org/abs/math/0404426v1

Rend. Circ. Mat. Palermo (2) Suppl. No. 79 (2006) 87--97

Mathematics

Differential Geometry

12 pages

Scientific paper

Weakly-irreducible not irreducible subalgebras of $\so(1,n+1)$ were
classified by L. Berard Bergery and A. Ikemakhen. In the present paper a
geometrical proof of this result is given. Transitively acting isometry groups
of Lobachevskian spaces and transitively acting similarity transformation
groups of Euclidean spaces are classified.

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