Minimality of the action on the universal circle of uniform foliations

Fenley, Sergio - Potrie Altieri, Rafael

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 .


Detalles Bibliográficos
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)