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arXiv · 2602.19529

Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces

Chaodong Yang·Wenyuan Yang
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Abstract

We provide two new characterizations of geometrically infinite actions on Gromov hyperbolic spaces: one in terms of the existence of escaping geodesics, and the other via the presence of uncountably many non-conical limit points. These results extend corresponding theorems of Bonahon, Bishop, and Kapovich--Liu from the settings of Kleinian groups and pinched negatively curved manifolds to discrete groups acting properly on proper Gromov hyperbolic spaces.

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Chaodong Yang, Wenyuan Yang. 2026-02-23. Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces. https://arxiv.org/abs/2602.19529

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