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Geometrically finite kleinian groups and parabolic elements

Published online by Cambridge University Press:  20 January 2009

Ken'ichi Ohshika
Ken'ichi Ohshika
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo 153, Japan
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Let Γ be a torsion-free geometrically finite Kleinian group. In this paper, we investigate which systems of loxodromic conjugacy classes of Γ can be simultaneously made parabolic in a group on the boundary of the quasi-conformal deformation space of Γ. We shall prove that for this, it is sufficient that the classes of the system are represented by disjoint primitive simple closed curves on the ideal boundary of H3/Γ.

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Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 1 , February 1998 , pp. 141 - 159
Copyright
Copyright © Edinburgh Mathematical Society 1998

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