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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.14007 |
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| _version_ | 1866918431381520384 |
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| author | Guan, Lifan Wu, Chengyang |
| author_facet | Guan, Lifan Wu, Chengyang |
| contents | Let $Γ$ be a torsion-free subgroup of $SL_3(R)$ commensurable with $SL_3(Z)$, and $Y=SO_3(R)\backslash SL_3(R)/Γ$ be endowed with the natural locally symmetric space structure. We prove that for any point y in Y, the set of directions in which the geodesic ray starting from y is bounded in Y, is hyperplane absolute winning. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14007 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounded Geodesics on Locally Symmetric Spaces Guan, Lifan Wu, Chengyang Dynamical Systems 37A17, 37D40 Let $Γ$ be a torsion-free subgroup of $SL_3(R)$ commensurable with $SL_3(Z)$, and $Y=SO_3(R)\backslash SL_3(R)/Γ$ be endowed with the natural locally symmetric space structure. We prove that for any point y in Y, the set of directions in which the geodesic ray starting from y is bounded in Y, is hyperplane absolute winning. |
| title | Bounded Geodesics on Locally Symmetric Spaces |
| topic | Dynamical Systems 37A17, 37D40 |
| url | https://arxiv.org/abs/2503.14007 |