On the approaching geodesics property
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866909453667794944 |
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| author | Arosio, Leandro Fiacchi, Matteo |
| author_facet | Arosio, Leandro Fiacchi, Matteo |
| contents | 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 $\mathbb{C}$ which does not satisfy the approaching geodesic property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05876 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the approaching geodesics property Arosio, Leandro Fiacchi, Matteo Complex Variables Metric Geometry 32F45, 32H50, 53C23 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 $\mathbb{C}$ which does not satisfy the approaching geodesic property. |
| title | On the approaching geodesics property |
| topic | Complex Variables Metric Geometry 32F45, 32H50, 53C23 |
| url | https://arxiv.org/abs/2501.05876 |