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Minimality of the action on the universal circle of uniform foliations.

Authors :
Fenley, Sergio R.
Potrie, Rafael
Source :
Groups, Geometry & Dynamics; 2021, Vol. 15 Issue 4, p1489-1521, 33p
Publication Year :
2021

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16617207
Volume :
15
Issue :
4
Database :
Complementary Index
Journal :
Groups, Geometry & Dynamics
Publication Type :
Academic Journal
Accession number :
157086196
Full Text :
https://doi.org/10.4171/GGD/637