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Kleinian orbifolds uniformized by RP groups with an
elliptic and a hyperbolic generator
Elena Klimenko and Natalia Kopteva
Geometry & Topology Monographs 12
(2007) 121–156
Abstract
We consider non-elementary Kleinian groups Γ without invariant plane
generated by an elliptic and a hyperbolic elements with their axes lying
in one plane. We find presentations and a complete list of orbifolds
uniformized by such Γ.
Keywords
Kleinian group, discrete group,
hyperbolic geometry, hyperbolic orbifold
Mathematical Subject Classification
Primary: 30F40
Secondary: 22E40, 57M12, 57M50
Publication
Received: 6 October 2006
Revised: 16 March 2007
Accepted: 30 April 2007
Published: 3 December 2007