Integrable geodesic flow with positive topological entropy
Differential Geometry
2015-06-26 v2 chao-dyn
Chaotic Dynamics
Exactly Solvable and Integrable Systems
solv-int
Abstract
An example of a real-analytic metric on a compact manifold whose geodesic flow is Liouville integrable by functions and has positive topological entropy is constructed.
Cite
@article{arxiv.math/9905078,
title = {Integrable geodesic flow with positive topological entropy},
author = {A. V. Bolsinov and I. A. Taimanov},
journal= {arXiv preprint arXiv:math/9905078},
year = {2015}
}
Comments
7 pages, LaTeX