On the approaching geodesics property
arXiv:2501.05876 · doi:10.1007/s40574-024-00442-7
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.
arXiv admin note: text overlap with arXiv:2012.09848