Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds
Resumen:
We study conservative partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds. We show that they are always accessible and deduce as a result that every conservative C1+ partially hyperbolic in a hyperbolic 3-manifold must be ergodic, giving an affirmative answer to a conjecture of Hertz-Hertz-Ures in the context of hyperbolic 3-manifolds. We also get some results for general partially hyperbolic diffeomorphisms homotopic to the identity and in some isotopy classes on Seifert manifolds.
| 2022 | |
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Partial hyperbolicity 3-manifold topology Foliations Ergodicity Accessibility |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38418 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Publicado también como: Advances in Mathematics, 2022 , 401: 1-43. DOI: 10.1016/j.aim.2022.108315 |
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