On the symmetries of the $Sol_{3}$ Lie group
J. Korean Math. Soc. 2020 Vol. 57, No. 2, 523-537
https://doi.org/10.4134/JKMS.j190198
Published online March 1, 2020
Lakehal Belarbi
University of Mostaganem (U.M.A.B.)
Abstract : In this work we consider the $Sol_{3}$ Lie group, equipped with the left-invariant metric, Lorentzian or Riemannian. We determine Killing vector fields and affine vectors fields. Also we obtain a full classification of Ricci, curvature and matter collineations.
Keywords : Lorentzian $Sol_{3}$ group, Killing vector fields, affine vector fields, Ricci collineations, curvature collineations, matter collineations
MSC numbers : 53C50, 53B30
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