Journal of Lie Theory 30 (2020), No. 1, 155--169
Copyright Heldermann Verlag 2020
On the Symmetries of Five-Dimensional Solvable Lie Groups
Assia Mostefaoui
Ecole Nationale Polytechnique d'Oran, El M'naouar, Oran 31000, Algeria
mostefaoui_assia@yahoo.fr
Lakehal Belarbi
Dept. of Mathematics, Lab. of Pure and Applied Mathematics, University of Mostaganem, 27000 Mostaganem, Algeria
lakehalbelarbi@gmail.com
We consider the five-dimensional solvable Lie group, equipped with left-invariant Riemannian metric. We obtain a full classification of Killing and affine vector fields as well as Ricci, curvature and matter collineations.
Keywords: Solvable Lie group, Killing vector fields, affine vector fields, Ricci collineations, curvature collineations.
MSC: 53C50, 53B30.
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