5 citations · 8 across the 3 of their papers we have counts for
3 papers
math.DS2008
A generic property of families of Lagrangian systems
Patrick Bernard, Gonzalo Contreras
We prove that a generic lagrangian has finitely many minimizing measures for every cohomology class.
math.DG2003★ 3 cited
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.
math.DS2003★ 5 cited
The Palais-Smale condition for contact type energy levels for convex lagrangian systems
Gonzalo Contreras
We prove that for a uniformly convex Lagrangian system L on a compact manifold M, almost all energy levels contain a periodic orbit. We also prove that below Ma ne's critical value…