A locally integrable non-separable analytic geodesic flow
Dynamical Systems
2018-08-21 v3
Abstract
We explicitely construct an example of an analytic metric on which is non-separable but it is locally integrable on an energy surface. The construction is based on a KAM-like approach and a careful control on what happens on the energy surface.
Cite
@article{arxiv.1803.01222,
title = {A locally integrable non-separable analytic geodesic flow},
author = {Livia Corsi and Vadim Kaloshin},
journal= {arXiv preprint arXiv:1803.01222},
year = {2018}
}