Visual metrics on boundaries of hyperbolic spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913889568948224 |
|---|---|
| author | Stark, Emily |
| author_facet | Stark, Emily |
| contents | This is an expository article on visual metrics on boundaries of hyperbolic metric spaces. We discuss the construction of visual metrics, quasisymmetries and their invariants, Hausdorff and conformal dimension, and constructions and applications of Gromov's round trees. There is a focus on providing examples throughout. These notes are based on the material of a minicourse given by the author at the 2024 Riverside Workshop in Geometric Group Theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10108 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Visual metrics on boundaries of hyperbolic spaces Stark, Emily Geometric Topology Group Theory 20F65 This is an expository article on visual metrics on boundaries of hyperbolic metric spaces. We discuss the construction of visual metrics, quasisymmetries and their invariants, Hausdorff and conformal dimension, and constructions and applications of Gromov's round trees. There is a focus on providing examples throughout. These notes are based on the material of a minicourse given by the author at the 2024 Riverside Workshop in Geometric Group Theory. |
| title | Visual metrics on boundaries of hyperbolic spaces |
| topic | Geometric Topology Group Theory 20F65 |
| url | https://arxiv.org/abs/2506.10108 |