42 citations · 78 across the 12 of their papers we have counts for
6 papers · 1 filter
On the set of asymptotic homologies of orbits on invariant Lagrangian graphs
Rafael Oswaldo Ruggiero, Alfonso Sorrentino
Given a smooth Tonelli Hamiltonian on the torus and a Lagrangian graph that is invariant under the Hamiltonian flow and con…
Density of expansivity for geodesic flows of compact higher genus surfaces without conjugate points
Edhin F. Mamani, Rafael Ruggiero
Let be a compact connected surface without conjugate points of genus greater than one. We show that set of geodesics without strips forms a dense set of orbits…
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…
Expansive factors for geodesic flows of compact manifolds without conjugate points and with visibility universal covering
Edhin F. Mamani, Rafael Ruggiero
Let be a compact manifold without conjugate points and with visibility universal covering. We show that its geodesic flow has a time-preserving expansive factor which is to…
Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles
Rafael O. Ruggiero, Katrin Gelfert
We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics…
Franks' Lemma for C^2-Mané Perturbations of Riemannian Metrics and Applications to Persistence
Ayadi Lazrag, Ludovic Rifford, Rafael Ruggiero
Given a compact Riemannian manifold, we prove a uniform Franks' lemma at second order for geodesic flows and apply the result in persistence theory.