Lie Symmetries of the Canonical Geodesic Equations for Four-Dimensional Lie Groups

Authors

Ryad Ghanam, Virginia Commonwealth University in QatarFollow
Gerard Thompson, University of Toledo

Document Type

Article

Original Publication Date

2018

Journal/Book/Conference Title

Mathematica Æterna

Volume

8

Issue

2

First Page

57

Last Page

70

Comments

Originally published at https://www.longdom.org/abstract/lie-symmetries-of-the-canonical-geodesic-equations-for-fourdimensional-lie-groups-4806.html

Funded in part by the VCU Libraries Open Access Publishing Fund.

Date of Submission

October 2019

Abstract

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.

Rights

This article is under the terms of the Creative Commons Attribution License.

Is Part Of

VCUQatar Publications