22 citations · 80 across the 20 of their papers we have counts for
20 papers
Homogenization on arbitrary manifolds. Proof with test functions
Gonzalo Contreras, Yuriria Estrada
We proof the homogenization of the Hamilton-Jacobi equation on arbitrary compact manifolds using Evans perturbed test function method.
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 …
Surfaces of section for geodesic flows of closed surfaces
Gonzalo Contreras, Gerhard Knieper, Marco Mazzucchelli +1
We prove several results concerning the existence of surfaces of section for the geodesic flows of closed orientable Riemannian surfaces. The surfaces of section that we constr…
Existence of Birkhoff sections for Kupka-Smale Reeb flows of closed contact 3-manifolds
Gonzalo Contreras, Marco Mazzucchelli
A Reeb vector field satisfies the Kupka-Smale condition when all its closed orbits are non-degenerate, and the stable and unstable manifolds of its hyperbolic closed orbits interse…