Geodesic
Minimality of the action on the universal circle of uniform foliations
Sérgio R. Fenley1 ; Rafael Potrie2
1Princeton University, USA; Florida State University, Tallahassee
2Universidad de la República, Montevideo, Uruguay
Groups, geometry, and dynamics, Tome 15 (2021) no. 4, pp. 1489-1521

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DOI

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 RR-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.
DOI : 10.4171/ggd/637
Classification : 53-XX, 37-XX
Mots-clés : 3-manifold topology, foliations, group actions

Sérgio R. Fenley  1   ; Rafael Potrie  2

1 Princeton University, USA; Florida State University, Tallahassee
2 Universidad de la República, Montevideo, Uruguay 
Sérgio R. Fenley; Rafael Potrie. Minimality of the action on the universal circle of uniform foliations. Groups, geometry, and dynamics, Tome 15 (2021) no. 4, pp. 1489-1521. doi: 10.4171/ggd/637
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     pages = {1489--1521},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/637/}
}
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