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- W2894327814 abstract "The aim of this paper is to classify the cohomogeneity one conformal actions on the 3-dimensional Einstein universe $Ein^{1;2}$ , up to orbit equivalence. In a recent paper [21], we studied the unique (up to conjugacy) irreducible action of $PSL(2; mathbb{R})$ on $Ein^{1;2}$ and we showed that the action is of cohomogeneity one. In the present paper, we determine all the subgroups of $Conf(Ein^{1;2})$, up to conjugacy, acting reducibly and with cohomogeneity one on $Ein^{1;2}$. We show that any cohomogeneity one reducible action on $Ein^{1;2}$ induces a fixed point in the 4-dimensional projective space $mathbb{R} mathbb{P}^4$. Also, we describe all the codimension one induced orbits by these actions" @default.
- W2894327814 created "2018-10-05" @default.
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- W2894327814 date "2018-10-01" @default.
- W2894327814 modified "2023-09-27" @default.
- W2894327814 title "Cohomogeneity one actions on the three-dimensional Einstein universe" @default.
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