On the tangent cones of Aubry sets
Dynamical Systems
2018-04-10 v2
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.
Cite
@article{arxiv.1709.02860,
title = {On the tangent cones of Aubry sets},
author = {Ke Zhang},
journal= {arXiv preprint arXiv:1709.02860},
year = {2018}
}
Comments
12 pages. Submitted, will update later with final version