Classification of symmetry lie algebras of the canonical geodesic equations of five-dimensional solvable lie algebras
H Almusawa, R Ghanam, G Thompson - Symmetry, 2019 - mdpi.com
H Almusawa, R Ghanam, G Thompson
Symmetry, 2019•mdpi.comIn 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 abc
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.
the indecomposable solvable Lie groups of dimension five, confined to algebras A 5, 7 abc
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.
In this investigation, we present symmetry algebras of the canonical geodesic equations of the indecomposable solvable Lie groups of dimension five, confined to algebras A5,7abc to A18a. 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.
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