78 citations · 288 across the 45 of their papers we have counts for
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On transverse -covered minimal foliations
Thierry Barbot, Sergio R. Fenley, Rafael Potrie
We study minimal transverse foliations which are -covered. If in addition the dimension of the ambient manifold is , and the foliations are Anosov foliations we give necessar…
Intersection of transverse foliations in 3-manifolds: Hausdorff leafspace implies leafwise quasi-geodesic
Sergio R. Fenley, Rafael Potrie
Let and be transverse two dimensional foliations with Gromov hyperbolic leaves in a closed 3-manifold whose fundamental group is not solvable, a…
Transverse minimal foliations on unit tangent bundles and applications
Sergio R. Fenley, Rafael Potrie
We show that if and are two transverse minimal foliations on then either they intersect in an Anosov foliation or there exists a Reeb-sur…
Minimality of the action on the universal circle of uniform foliations
Sergio Fenley, Rafael Potrie
Given a uniform foliation by Gromov hyperbolic leaves on a -manifold, we show that the action of the fundamental group on the universal circle is minimal and transitive on pairs…
Topology of leaves for minimal laminations by hyperbolic surfaces
Sébastien Alvarez, Joaquín Brum, Matilde Martínez +1
We construct minimal laminations by hyperbolic surfaces whose generic leaf is a disk and contain any prescribed family of surfaces and with a precise control of the topologies of t…