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math.DS2023
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…
math.DS2023★ 2 cited
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…