Symmetry algebras of the canonical Lie group geodesic equations in dimension three
R Ghanam, G Thompson - Mathematica Aeterna, 2018 - scholarscompass.vcu.edu
R Ghanam, G Thompson
Mathematica Aeterna, 2018•scholarscompass.vcu.eduFor each of the two and three-dimensional indecomposable Lie algebras the geodesic
equations of the associated canonical Lie group connection are given. In each case a basis
for the associated Lie algebra of symmetries is constructed and the corresponding Lie
brackets are written down.
equations of the associated canonical Lie group connection are given. In each case a basis
for the associated Lie algebra of symmetries is constructed and the corresponding Lie
brackets are written down.
Abstract
For each of the two and three-dimensional indecomposable Lie algebras the geodesic equations of the associated canonical Lie group connection are given. In each case a basis for the associated Lie algebra of symmetries is constructed and the corresponding Lie brackets are written down.
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