Mathematica Eterna

Mathematica Eterna
Open Access

ISSN: 1314-3344

+44-77-2385-9429

Abstract

Lie symmetries of the canonical geodesic equations for four-dimensional Lie groups

Ryad Ghanam and Gerard Thompson

For each of the four-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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