Mostow rigidity for skew solenoidal manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913129054601216 |
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| author | Cuesta, Fernando Alcalde Martínez, Matilde Verjovsky, Alberto |
| author_facet | Cuesta, Fernando Alcalde Martínez, Matilde Verjovsky, Alberto |
| contents | We prove a Mostow rigidity theorem for foliated bundles over closed hyperbolic manifolds of dimension $n \geq 3$ endowed with a completely invariant measure of full support. These include solenoidal manifolds obtained as inverse limits of directed systems of finite coverings of closed hyperbolic manifolds. This theorem then extends to skew solenoidal manifolds for which the action of the holonomy group is twisted by means of a cocycle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14740 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mostow rigidity for skew solenoidal manifolds Cuesta, Fernando Alcalde Martínez, Matilde Verjovsky, Alberto Dynamical Systems Differential Geometry 37D40, 53C24 We prove a Mostow rigidity theorem for foliated bundles over closed hyperbolic manifolds of dimension $n \geq 3$ endowed with a completely invariant measure of full support. These include solenoidal manifolds obtained as inverse limits of directed systems of finite coverings of closed hyperbolic manifolds. This theorem then extends to skew solenoidal manifolds for which the action of the holonomy group is twisted by means of a cocycle. |
| title | Mostow rigidity for skew solenoidal manifolds |
| topic | Dynamical Systems Differential Geometry 37D40, 53C24 |
| url | https://arxiv.org/abs/2605.14740 |