Isometric actions on the four dimensional Minkowski spacetime |
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| Institution: | 1. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395-5746, Tehran, Iran;2. Departmental of mathematics, University of Zanjan, University blvd., Zanjan, Iran |
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| Abstract: | In this paper we give representations of all connected Lie groups acting isometrically on the four dimensional Minkowski spacetime, up to conjugacy within the full isometry group of the space. For each obtained group, we study its induced orbits. Then we classify the Lie groups up to orbit equivalence. |
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| Keywords: | Minkowski spacetime Cohomogeneity one Projective special linear group |
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