A Classification Of Cohomogeneity One Actions On The Minkowski Space \(\mathbb{R}^{3,1}\)

The aim of this paper is to classify cohomogeneity one isometric actions on the 4-dimensional Minkowski space \(\mathbb{R}^{3,1}\), up to orbit equivalence. Representations, up to conjugacy, of the acting groups in \(O(3,1)\ltimes \mathbb{R}^{3,1}\) are given in both cases, proper and non-proper act...

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Bibliographic Details
Published inarXiv.org
Main Authors Ahmadi, P, Safari, S, Hassani, M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.09.2019
Subjects
Minkowski space
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Summary:The aim of this paper is to classify cohomogeneity one isometric actions on the 4-dimensional Minkowski space \(\mathbb{R}^{3,1}\), up to orbit equivalence. Representations, up to conjugacy, of the acting groups in \(O(3,1)\ltimes \mathbb{R}^{3,1}\) are given in both cases, proper and non-proper actions. When the action is proper, the orbits and the orbit spaces are determined.
ISSN:2331-8422
DOI:10.48550/arxiv.1909.01847