22 citations · 80 across the 20 of their papers we have counts for
13 papers · 1 filter
Homoclinics for geodesic flows of surfaces
Gonzalo Contreras, Fernando Oliveira
We prove that the geodesic flow of a Kupka-Smale riemannian metric on a closed surface has homoclinic orbits for all of its hyperbolic closed geodesics.
No elliptic points from fixed prime ends
Fernando Oliveira, Gonzalo Contreras
We consider area preserving maps of surfaces and extend Mather's result on the equality of the closure of the four branches of saddles. He assumed elliptic fixed points to be Moser…
The ideal boundary and the accumulation lemma
Fernando Oliveira, Gonzalo Contreras
Let be a connected surface possibly with boundary, a finite Borel measure which is positive on open sets and a homeomorphism preserving . We prove that if …
Proof of the -stability conjecture for geodesic flows of closed surfaces
Gonzalo Contreras, Marco Mazzucchelli
We prove that a -generic Riemannian metric on a closed surface has either an elliptic closed geodesic or an Anosov geodesic flow. As a consequence, we prove the -stabilit…
On finite quotient Aubry set for generic geodesic flows
Gonzalo Contreras, José Antônio G. Miranda
We study the structure of the Mather and Aubry sets for the family of lagrangians given by the kinetic energy associated to a riemannian metric on a closed manifold . In t…
Generic Mañé sets
Gonzalo Contreras
We prove that generic hyperbolic Mañé sets contain a periodic orbit. In dimesion 2, adding a result with A. Figalli and L. Rifford, we obtain Mañé's Conjecture for surfaces i…