Flat metrics are local strict minimizers for the polynomial entropy
Dynamical Systems
2012-07-23 v1 Differential Geometry
Abstract
As we have proved in [L], the geodesic flows associated with the flat metrics on T^2 minimize the polynomial entropy. In this paper, we show that, among the geodesic flows that are Bott integrable and dynamically coherent, the geodesic flows associated to flat metrics are local strict minima for the polynomial entropy. To this aim, we prove a graph property for invariant Lagrangian tori in near-integrable systems.
Cite
@article{arxiv.1207.4934,
title = {Flat metrics are local strict minimizers for the polynomial entropy},
author = {Clémence Labrousse},
journal= {arXiv preprint arXiv:1207.4934},
year = {2012}
}
Comments
15 pages