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On the symmetries of the $Sol_{3}$ Lie group
Lakehal Belarbi 대한수학회 2020 대한수학회지 Vol.57 No.2
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.
ON THE SYMMETRIES OF THE Sol<sub>3</sub> LIE GROUP
Belarbi, Lakehal Korean Mathematical Society 2020 대한수학회지 Vol.57 No.2
In this work we consider the Sol<sub>3</sub> 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.
ON TRANSLATION SURFACES WITH ZERO GAUSSIAN CURVATURE IN LORENTZIAN SOL<sub>3</sub> SPACE
BELARBI, LAKEHAL,ZOUBIR, HANIFI The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
In this work we classified translation invariant surfaces with zero Gaussian curvature in the 3-dimensional Sol Lie group endowed with Lorentzian metric.
$F$-Biharmonic curves in three-dimensional generalized symmetric spaces
Yasmine Bahous,Lakehal Belarbi,Mansour Belarbi,Hichem Elhendi 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.1
In this work we give the necessary and sufficient conditions for $f$-biharmonic curves in three-dimensional generalized symmetric spaces.