On the tangent cones of Aubry sets
arXiv:1709.02860
Abstract
We show that the paratingent cone of the Aubry set of the Tonelli Hamiltonian is contained in a cone bounded by the Green bundles. Our result improves the earlier result of M.-C. Arnaud on tangent cones of the Aubry sets.
12 pages. Submitted, will update later with final version