Expansive Lie Group Actions
Dynamical Systems
2022-07-05 v3
Abstract
In this work we introduce a concept of expansiveness for actions of connected Lie groups. We study some of its properties and investigate some implications of expansiveness. We study the centralizer of expansive actions and introduce CW-expansiveness for pseudo-group actions. As an application, we prove positiveness of geometric entropy for expansive foliations and expansive group actions.
Keywords
Cite
@article{arxiv.2103.06399,
title = {Expansive Lie Group Actions},
author = {Elias Rego and Alexander Arbieto},
journal= {arXiv preprint arXiv:2103.06399},
year = {2022}
}
Comments
20 pages. J Dyn Control Syst (2022)