Busemann points are nowhere dense
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913668809097216 |
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| author | Azemar, Aitor Bourque, Maxime Fortier |
| author_facet | Azemar, Aitor Bourque, Maxime Fortier |
| contents | We prove that the set of Busemann points (the limits of almost-geodesic rays) is nowhere dense in the horoboundary of the Teichmüller metric for all Teichmüller spaces of complex dimension strictly larger than 1. This shows that the Teichmüller metric is far from having non-positive curvature in a certain sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17262 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Busemann points are nowhere dense Azemar, Aitor Bourque, Maxime Fortier Geometric Topology We prove that the set of Busemann points (the limits of almost-geodesic rays) is nowhere dense in the horoboundary of the Teichmüller metric for all Teichmüller spaces of complex dimension strictly larger than 1. This shows that the Teichmüller metric is far from having non-positive curvature in a certain sense. |
| title | Busemann points are nowhere dense |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2501.17262 |