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Zbl 1206.51017
Gongopadhyay, Krishnendu; Kulkarni, Ravi S.
$z$-classes of isometries of the hyperbolic space. (English)
[J] Conform. Geom. Dyn. 13, 91-109, electronic only (2009). ISSN 1088-4173/e

The results concerning the given problem reflected in the title are formulated in four main theorems. These theorems are firstly presented in introduction and then proved by means of several technical statements. Some more explicit simple criteria are presented separately in the last section. Further technical calculations are supplied in two appendices.
[Jan Andres (Olomouc)]
MSC 2000:
*51M10 Hyperbolic and elliptic geometries (general) and generalizations
51F25 Orthogonal and unitary groups (geometry)

Keywords: hyperbolic space; isometry group; dynamical types; $z$-classes

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