Work

Fundamental regions for non-isometric group actions

Year: 2024

Type: article

Abstract: We generalise results about isometric group actions on metric spaces and their fundamental regions to the context of merely continuous group actions. In particular, we obtain results that yield the relative compactness of a fundamental region for a cocompact group action. As a consequence, we obtain a criterion for a cocompact cyclic group of semi-Riemannian homotheties to be inessential.

Source: Geometriae Dedicata

DOI: 10.1007/s10711-024-00944-w

Authors: Thomas Leistner, Stuart Teisseire

Institutions: The University of Adelaide, University of Auckland

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890

Funders: Australian Government, University of Adelaide, Australian Research Council