Thurston's asymmetric metrics for Anosov representations
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929336578211840 |
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| author | Carvajales, León Dai, Xian Pozzetti, Beatrice Wienhard, Anna |
| author_facet | Carvajales, León Dai, Xian Pozzetti, Beatrice Wienhard, Anna |
| contents | We provide a good dynamical framework allowing to generalize Thurston's asymmetric metric and the associated Finsler norm from Teichmüller space to large classes of Anosov representations. In many cases, including the space of Hitchin representations, this gives a (possibly asymmetric) Finsler distance. In some cases we explicitly compute the associated Finsler norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_05292 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Thurston's asymmetric metrics for Anosov representations Carvajales, León Dai, Xian Pozzetti, Beatrice Wienhard, Anna Differential Geometry Dynamical Systems Geometric Topology We provide a good dynamical framework allowing to generalize Thurston's asymmetric metric and the associated Finsler norm from Teichmüller space to large classes of Anosov representations. In many cases, including the space of Hitchin representations, this gives a (possibly asymmetric) Finsler distance. In some cases we explicitly compute the associated Finsler norm. |
| title | Thurston's asymmetric metrics for Anosov representations |
| topic | Differential Geometry Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2210.05292 |