Minimality of the action on the universal circle of uniform foliations
Resumen:
Given a uniform foliation by Gromov hyperbolic leaves on a 3-manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs of different points. We also prove two other results: we prove that general uniform Reebless foliations are R-covered and we give a new description of the universal circle of R-covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of M .
| 2021 | |
|
CSIC: 618. ANII: FCE_1_2017_1_135352 |
|
|
3-manifold topology Foliations Group actions. |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/34113 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
Resultados similares
-
Intersection of transverse foliations in 3-manifolds : Hausdorff leafspace implies leafwise quasi-geodesic
Autor(es):: Fenley, Sergio
Fecha de publicación:: (2025) -
Ergodicity of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds
Autor(es):: Fenley, Sergio
Fecha de publicación:: (2022) -
Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, II: Branching foliations
Autor(es):: Barthelmé, Thomas
Fecha de publicación:: (2023) -
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
Autor(es):: Barthelmé, Thomas
Fecha de publicación:: (2020) -
Some aspects of group actions on one-dimensional manifolds
Autor(es):: Brum, Joaquín
Fecha de publicación:: (2017)