March 20, 2024Open Access

Topological and geometric restrictions on hyperconvex representations

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Resumen

We study the geometry of hyperconvex representations of hyperbolic groups in PSL (d, C) and establish two structural results: a group admitting a hyperconvex representation is virtually isomorphic to a Kleinian group, and its hyperconvex limit set in the appropriate flag manifold has Hausdorff dimension strictly smaller than 2.

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Cite This Study

Farre et al. (Wed,) studied this question.

synapsesocial.com/papers/68e733cdb6db6435876adb72 https://doi.org/https://doi.org/10.48550/arxiv.2403.13668

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