Properness of the bending map
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914081585233920 |
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| author | Lecuire, Cyril |
| author_facet | Lecuire, Cyril |
| contents | The bending map of a hyperbolic 3-manifold with boundary maps a geometrically hyperbolic metric to its bending measured geodesic lamination. We show that the bending map is proper. As a byproduct of the proof we show that the group of isotopy classes of homeomorphisms of M acts properly discontinuously on the set of doubly incompressible measured geodesic laminations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07087 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Properness of the bending map Lecuire, Cyril Geometric Topology 30F40, 57K32 The bending map of a hyperbolic 3-manifold with boundary maps a geometrically hyperbolic metric to its bending measured geodesic lamination. We show that the bending map is proper. As a byproduct of the proof we show that the group of isotopy classes of homeomorphisms of M acts properly discontinuously on the set of doubly incompressible measured geodesic laminations. |
| title | Properness of the bending map |
| topic | Geometric Topology 30F40, 57K32 |
| url | https://arxiv.org/abs/2510.07087 |