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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.14825 |
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| _version_ | 1866911161566363648 |
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| author | Lejtreger, Joaquín |
| author_facet | Lejtreger, Joaquín |
| contents | We expand a result of Birman and Series (1985) by proving that the set of geodesics whose self-intersection angles are bounded from below has Hausdorff dimension zero. In addition, we show that the set of geodesics that do not bound a geodesic triangle also has Hausdorff dimension zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14825 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Hausdorff dimension of geodesics with bounded self-intersection angle Lejtreger, Joaquín Geometric Topology 37D40, 20H10 We expand a result of Birman and Series (1985) by proving that the set of geodesics whose self-intersection angles are bounded from below has Hausdorff dimension zero. In addition, we show that the set of geodesics that do not bound a geodesic triangle also has Hausdorff dimension zero. |
| title | On the Hausdorff dimension of geodesics with bounded self-intersection angle |
| topic | Geometric Topology 37D40, 20H10 |
| url | https://arxiv.org/abs/2509.14825 |