generalized symmetric space
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On the symmetries of three-dimensional generalized symmetric spaces

SERIES III - MATEMATICS, INFORMATICS, PHYSICS ◽

10.31926/but.mif.2020.13.62.2.7 ◽

2021 ◽

Vol 13(62) (2) ◽

pp. 451-462

Author(s):

Lakehal Belarbi

Keyword(s):

Symmetric Spaces ◽

Vector Fields ◽

Killing Vector ◽

Three Dimensional ◽

Riemannian Metric ◽

Killing Vector Fields ◽

Generalized Symmetric Space ◽

Generalized Symmetric Spaces ◽

Full Classification

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

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