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Strong convergence of Kleinian groups

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Abstract.

In this paper, we consider algebraically convergent sequences of quasi-conformal deformations of a convex cocompact Kleinian group. We characterize those sequences which converge strongly in terms of their Ahlfors–Bers parameterizations.

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Correspondence to G. Kleineidam.

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Received: December 2003 Revision: November 2004 Accepted: November 2004

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Kleineidam, G. Strong convergence of Kleinian groups. GAFA, Geom. funct. anal. 15, 416–452 (2005). https://doi.org/10.1007/s00039-005-0511-1

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  • DOI: https://doi.org/10.1007/s00039-005-0511-1

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