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arXiv · 1409.3873

Rigidity of limit sets for nonplanar geometrically finite Kleinian groups of the second kind

Lior Fishman·David Simmons·Mariusz Urbański
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Abstract

We consider the relation between geometrically finite groups and their limit sets in infinite-dimensional hyperbolic space. Specifically, we show that a rigidity theorem of Susskind and Swarup ('92) generalizes to infinite dimensions, while a stronger rigidity theorem of Yang and Jiang ('10) does not.

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Lior Fishman, David Simmons, Mariusz Urbański. 2014-09-12. Rigidity of limit sets for nonplanar geometrically finite Kleinian groups of the second kind. https://arxiv.org/abs/1409.3873

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