Global Minimizers of Autonomous Lagrangians Page 1 Global Minimizers of Autonomous
Lagrangians Gonzalo Contreras Renato Iturriaga cimat mexico, gto. c 2000 Page 2 ii ii Page 3 …

We show that certain mechanical systems, including a geodesic flow in any dimension plus
a quasi-periodic perturbation by a potential, have orbits of unbounded energy. The …

We prove the existence of optimal transport maps for the Monge problem when the cost is a
Finsler distance on a compact manifold. Our point of view consists in considering the …

We make use of a symmetry reduction technique called Routh reduction to show that the
solutions of the Euler–Lagrange equations of a strongly convex autonomous Lagrangian …

We give a rigorous proof of the equivalence of Mañé's supercritical potential and the minimal
action with respect to an associated Jacobi-Finsler metric. As a consequence, we give an …

We show that certain mechanical systems, including a geodesic° ow in any dimension plus
a quasi-periodic perturbation by a potential, have orbits of unbounded energy. The …