On the irreducible action of PSL(2,R) on the 3-dimensional Einstein universe |
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Authors: | Masoud Hassani |
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Institution: | 1. Université d''Avignon, Campus Jean-Henri-Fabre, 301, rue Baruch-de-Spinoza, BP 21239, 84916 Avignon cedex 9, France;2. University of Zanjan, Faculty of Science, Department of Mathematics, University blvd, Zanjan, Iran |
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Abstract: | In this paper, we study the irreducible representation of in . This action preserves a quadratic form with signature . Thus, it acts conformally on the 3-dimensional Einstein universe . We describe the orbits induced in and its complement in . This work completes the study in 2], and is one element of the classification of cohomogeneity one actions on 5]. |
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