Journal of Mathematical Physics, Analysis, Geometry 2019, vol. 15, No 2, pp. 155-169   https://doi.org/10.15407/mag15.02.155     ( to contents , go back )

### Cohomogeneity One Dynamics on Three Dimensional Minkowski Space

In the paper, we give a classification of closed and connected Lie groups, up to conjugacy in $\mathrm{Iso}({\mathbb{R}^{1,2}})$, acting by cohomogeneity one on the three dimensional Minkowski space $\mathbb{R}^{1,2}$ in both proper and nonproper dynamics. Then we determine causal properties and types of the orbits.