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arXiv · 1410.1700

Cohomogeneity one actions on Minkowski spaces

Jurgen Berndt·Jose Carlos Diaz-Ramos·Mohammad Javad Vanaei
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Abstract

We study isometric cohomogeneity one actions on the (n+1)-dimensional Minkowski space up to orbit-equivalence. We give examples of isometric cohomogeneity one actions on the Minkowski space whose orbit spaces are non-Hausdorff. We show that there exist isometric cohomogeneity one actions on the Minkowski space which are orbit-equivalent on the complement of an n-dimensional degenerate subspace and not orbit-equivalent on this degenerate subspace. We classify isometric cohomogeneity one actions on 2- and 3-dimensional Minkowski spaces up to orbit-equivalence.

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Jurgen Berndt, Jose Carlos Diaz-Ramos, Mohammad Javad Vanaei. 2014-10-07. Cohomogeneity one actions on Minkowski spaces. https://arxiv.org/abs/1410.1700

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