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arXiv · 1909.01847

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

P. Ahmadi·S. Safari·M. Hassani
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Abstract

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.

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P. Ahmadi, S. Safari, M. Hassani. 2019-09-05. A Classification Of Cohomogeneity One Actions On The Minkowski Space $\mathbb{R}^{3,1}$. https://doi.org/10.1007/s41980-020-00479-2

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