Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908964648648704 |
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| author | Yang, Chaodong Yang, Wenyuan |
| author_facet | Yang, Chaodong Yang, Wenyuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19529 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces Yang, Chaodong Yang, Wenyuan Group Theory 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. |
| title | Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces |
| topic | Group Theory |
| url | https://arxiv.org/abs/2602.19529 |