3 citations · 10 across the 5 of their papers we have counts for
5 papers
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 …
On the Transitivity of Invariant Manifolds of Conservative Flows
Fábio Castro, Fernando Oliveira
The main result of this work is the following: for volume preserving flows on compact manifolds with the topology, , the closure of every invariant m…
C2 densely the 2-sphere has an elliptic closed geodesic
Gonzalo Contreras, Fernando Oliveira
We prove that a riemannian metric on the 2-sphere or the projective plane can be C2-approximated by a smooth metric whose geodesic flow has an elliptic closed geodesic.