R. Potrie

activity

20242026

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math.GT2026

On transverse $R$ -covered minimal foliations

Thierry Barbot, Sergio R. Fenley, Rafael Potrie

We study minimal transverse foliations which are $R$ -covered. If in addition the dimension of the ambient manifold is $3$ , and the foliations are Anosov foliations we give necessar…

math.GT2026

Transverse minimal foliations on unit tangent bundles and applications

Sergio R. Fenley, Rafael Potrie

We show that if $F_{1}$ and $F_{2}$ are two transverse minimal foliations on $M = T^{1} S$ then either they intersect in an Anosov foliation or there exists a Reeb-sur…

math.GT2025

Intersection of transverse foliations in 3-manifolds: Hausdorff leafspace implies leafwise quasi-geodesic

Sergio R. Fenley, Rafael Potrie

Let $F_{1}$ and $F_{2}$ be transverse two dimensional foliations with Gromov hyperbolic leaves in a closed 3-manifold $M$ whose fundamental group is not solvable, a…

On transverse R-covered minimal foliations

Transverse minimal foliations on unit tangent bundles and applications

Intersection of transverse foliations in 3-manifolds: Hausdorff leafspace implies leafwise quasi-geodesic

On transverse $R$ -covered minimal foliations