On the approaching geodesics property
Complex Variables
2025-01-13 v1 Metric Geometry
Abstract
We survey some recent results and open questions on the approaching geodesics property and its application to the study of the Gromov and horofunction compactifications of a proper geodesic Gromov metric space. We obtain results on the dynamics of isometries and we exhibit an example of a Gromov hyperbolic domain of which does not satisfy the approaching geodesic property.
Cite
@article{arxiv.2501.05876,
title = {On the approaching geodesics property},
author = {Leandro Arosio and Matteo Fiacchi},
journal= {arXiv preprint arXiv:2501.05876},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2012.09848