Minimality of the action on the universal circle of uniform foliations

 

Autor(es):
Fenley, Sergio ; Potrie Altieri, Rafael
Tipo:
Artículo
Versión:
Publicado
Financiadores:
CSIC: 618.
ANII: FCE_1_2017_1_135352
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 .

Año:
2021
Idioma:
Inglés
Temas:
3-manifold topology
Foliations
Group actions.
Institución:
Universidad de la República
Repositorio:
COLIBRI
Enlace(s):
https://hdl.handle.net/20.500.12008/34113
Nivel de acceso:
Acceso abierto