Journal of Lie Theory

no. 1
On the Symmetries of Five-Dimensional Solvable Lie Groups
Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 155-169
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.
DOI: 10.5802/jolt.1108
Classification: 53C50, 53B30
Keywords: Solvable Lie group, Killing vector fields, affine vector fields, Ricci collineations, curvature collineations 
@article{JOLT_2020_30_1_a8,
     author = {A. Mostefaoui and L. Belarbi},
     title = {On the {Symmetries} of {Five-Dimensional} {Solvable} {Lie} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {155--169},
     year = {2020},
     volume = {30},
     number = {1},
     doi = {10.5802/jolt.1108},
     zbl = {1440.53062},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1108/}
}
TY  - JOUR
AU  - A. Mostefaoui
AU  - L. Belarbi
TI  - On the Symmetries of Five-Dimensional Solvable Lie Groups
JO  - Journal of Lie Theory
PY  - 2020
SP  - 155
EP  - 169
VL  - 30
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1108/
DO  - 10.5802/jolt.1108
ID  - JOLT_2020_30_1_a8
ER  - 
%0 Journal Article
%A A. Mostefaoui
%A L. Belarbi
%T On the Symmetries of Five-Dimensional Solvable Lie Groups
%J Journal of Lie Theory
%D 2020
%P 155-169
%V 30
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1108/
%R 10.5802/jolt.1108
%F JOLT_2020_30_1_a8
A. Mostefaoui; L. Belarbi. On the Symmetries of Five-Dimensional Solvable Lie Groups. Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 155-169. doi: 10.5802/jolt.1108

Cited by Sources: