Expansive Lie Group Actions

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 p...

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Bibliographic Details
Published in:arXiv.org 2022-07
Main Authors: Rego, Elias, Arbieto, Alexander
Format: Article
Language:English
Subjects:
Entropy
Expansion
Lie groups
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2103.06399