Document Type
Article
Original Publication Date
2019
Journal/Book/Conference Title
Symmetry
Volume
11
Issue
11: 1354
First Page
1
Last Page
30
DOI of Original Publication
10.3390/sym11111354
Date of Submission
March 2020
Abstract
In 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.
Rights
© 2019 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Is Part Of
VCU Mathematics and Applied Mathematics Publications
Comments
Originally published at https://doi.org/10.3390/sym11111354.
Funded in part by the VCU Libraries Open Access Publishing Fund.