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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2605.24400 |
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| _version_ | 1866914594697510912 |
|---|---|
| author | Zhou, Yongbin |
| author_facet | Zhou, Yongbin |
| contents | We construct a concrete model for the measured wall of finite dinensional hyperbolic space, and construct the measure on it, so that the hyperbolic distance between two points equals to the measure of walls seperating them, up to a constant positive scalar. This offers a concrete proof for the fact that SO(n,1) is not T-group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24400 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-property (t) for SO(n,1) Zhou, Yongbin Geometric Topology Group Theory We construct a concrete model for the measured wall of finite dinensional hyperbolic space, and construct the measure on it, so that the hyperbolic distance between two points equals to the measure of walls seperating them, up to a constant positive scalar. This offers a concrete proof for the fact that SO(n,1) is not T-group. |
| title | Non-property (t) for SO(n,1) |
| topic | Geometric Topology Group Theory |
| url | https://arxiv.org/abs/2605.24400 |