Entropy collapse versus entropy rigidity for Reeb and Finsler flows
Dynamical Systems
2023-12-15 v3 Differential Geometry
Symplectic Geometry
Abstract
On every closed contact manifold there exist contact forms with volume one whose Reeb flows have arbitrarily small topological entropy. In contrast, for many closed manifolds there is a uniform positive lower bound for the topological entropy of (not necessarily reversible) normalized Finsler geodesic flows.
Cite
@article{arxiv.2103.01144,
title = {Entropy collapse versus entropy rigidity for Reeb and Finsler flows},
author = {Alberto Abbondandolo and Marcelo R. R. Alves and Murat Saglam and Felix Schlenk},
journal= {arXiv preprint arXiv:2103.01144},
year = {2023}
}
Comments
minor corrections and two preprints added