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.
Topological and geometric restrictions on hyperconvex representations
Viaggi, Gabriele
2025-01-01
Abstract
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.File in questo prodotto:
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