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 C which does not satisfy the approaching geodesic property.
Arosio, L., Fiacchi, M. (2025). On the approaching geodesics property. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 18(1), 3-16 [10.1007/s40574-024-00442-7].
On the approaching geodesics property
Arosio L.
;Fiacchi M.
2025-01-01
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 C which does not satisfy the approaching geodesic property.File in questo prodotto:
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