Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Chaodong Yang, Wenyuan Yang
DOI: 10.48550/arxiv.2602.19529
Cited by: 0

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.

Fields of Study & Subjects

Geometric and Algebraic Topology Mathematical Dynamics and Fractals Geometric Analysis and Curvature Flows

Publication details

Journal / source
arXiv (Cornell University)
Publication date
23 February 2026
Language
EN
Document type
Preprint