Applied Mathematics & Information Sciences


In order to characterize the systems of second-order ODEs which admit a regular Lagrangian function, Noether symmetries for the geodesic equations of the canonical linear connection on Lie groups of dimension three or less are obtained, so the characterization of these geodesic equations through their Noethers symmetries Lie Algebras is investigated. The corresponding conservation laws and the first integral for each geodesics are constructed.

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