Daniel Pizarro, Felipe Riquelme, Sebastián Villarroel
Published 2025-01-30Version 1
We compute the Hausdorff dimension of the limit set of an arbitrary Kleinian group of isometries of a complete simply-connected Riemannian manifold with pinched negative sectional curvatures $-b^2\leq k\leq -1$. Moreover, we construct hyperbolic surfaces with a set of non-recurrent orbits of dimension zero.
Hausdorff dimension of limit sets
Quotients of $\mathbb{N}^*$, $ω$-limit sets, and chain transitivity
Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces (extended version)
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