78 citations · 288 across the 45 of their papers we have counts for
4 papers · 1 filter
The stability conjecture for geodesic flows of compact manifolds without conjugate points and quasi-convex universal covering
Rafael Potrie, Rafael O. Ruggiero
Let be a compact, boudaryless connected manifold without conjugate points with quasi-convex universal covering and divergent geodesic rays. We show that the ge…
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…
Geometric properties of partially hyperbolic measures and applications to measure rigidity
Alex Eskin, Rafael Potrie, Zhiyuan Zhang
We give a geometric characterization of the quantitative non-integrability, introduced by Katz, of strong stable and unstable bundles of partially hyperbolic measures and sets in d…