Classification of Symmetry Lie Algebras of the Canonical Geodesic Equations of Five-Dimensional Solvable Lie Algebras
Keyword(s):
In this investigation, we present symmetry algebras of the canonical geodesic equations of the indecomposable solvable Lie groups of dimension five, confined to algebras A 5 , 7 a b c to A 18 a . For each algebra, the related system of geodesics is provided. Moreover, a basis for the associated Lie algebra of the symmetry vector fields, as well as the corresponding nonzero brackets, are constructed and categorized.
Keyword(s):
Keyword(s):
Keyword(s):
2017 ◽
Vol 2018
(7)
◽
pp. 2070-2098
◽
Keyword(s):
1984 ◽
Vol 96
(1)
◽
pp. 45-60
◽
Keyword(s):
2020 ◽
Vol ahead-of-print
(ahead-of-print)
◽
Keyword(s):
2003 ◽
Vol 12
(05)
◽
pp. 589-604