Rigidity of limit sets for nonplanar geometrically finite Kleinian groups of the second kind
classification
🧮 math.DS
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rigidityfinitegeometricallygroupslimitsetstheoremconsider
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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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