Minimality of the action on the universal circle of uniform foliations
Sérgio R. Fenley
Florida State University, Tallahassee; Princeton University, USARafael Potrie
Universidad de la República, Montevideo, Uruguay
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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 -covered foliations with Gromov hyperbolic leaves in terms of the JSJ decomposition of .
Cite this article
Sérgio R. Fenley, Rafael Potrie, Minimality of the action on the universal circle of uniform foliations. Groups Geom. Dyn. 15 (2021), no. 4, pp. 1489–1521
DOI 10.4171/GGD/637