A note on density of geodesics
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910389905653760 |
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| author | Beck, J. Chen, W. W. L. Yang, Y. |
| author_facet | Beck, J. Chen, W. W. L. Yang, Y. |
| contents | We extend the famous result of Katok and Zemlyakov on the density of half-infinite geodesics on finite flat rational surfaces to half-infinite geodesics on a finite polycube translation $3$-manifold. We also extend this original result to establish a weak uniformity statement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19960 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on density of geodesics Beck, J. Chen, W. W. L. Yang, Y. Dynamical Systems Number Theory 37E35, 11K38 We extend the famous result of Katok and Zemlyakov on the density of half-infinite geodesics on finite flat rational surfaces to half-infinite geodesics on a finite polycube translation $3$-manifold. We also extend this original result to establish a weak uniformity statement. |
| title | A note on density of geodesics |
| topic | Dynamical Systems Number Theory 37E35, 11K38 |
| url | https://arxiv.org/abs/2403.19960 |