On the symmetries of three-dimensional generalized symmetric spaces

Authors

  • L. Belarbi University of Mostaganem (U.M.A.B.), Algeria

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.7

Keywords:

Generalized symmetric spaces, left-invariant metrics, Killing vector fields, affine vector fields, pseudo-Riemannian metrics, curvature and matter collineations

Abstract

In this work, we consider the three-dimensional generalized symmetric space, equipped with the left-invariant pseudo-Riemannian metric. We determine the Killing vector fields and affine vectors fields. Also, we obtain a full classification of Ricci, curvature, and matter collineations.

Author Biography

L. Belarbi, University of Mostaganem (U.M.A.B.), Algeria

Department of Mathematics, Laboratory of Pure and Applied Mathematics, B.P.227, 27000, Mostaganem

Downloads

Published

2021-01-22

Issue

Vol. 13(62) No. 2 (2020)

Section

MATHEMATICS