Next Article in Journal
Common Fixed Points Results on Non-Archimedean Metric Modular Spaces
Previous Article in Journal
Effects of Nanoparticle Enhanced Lubricant Films in Thermal Design of Plain Journal Bearings at High Reynolds Numbers
Open AccessArticle

Classification of Symmetry Lie Algebras of the Canonical Geodesic Equations of Five-Dimensional Solvable Lie Algebras

1
Department of Mathematics & Applied Mathematics, Virginia Commonwealth University, Richmond, VA 23284, USA
2
Department of Mathematics, College of Sciences, Jazan University, Jazan 45142, Saudi Arabia
3
Department of Liberal Arts & Sciences, Virginia Commonwealth University in Qatar, Doha 8095, Qatar
4
Department of Mathematics, University of Toledo, Toledo, OH 43606, USA
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(11), 1354; https://doi.org/10.3390/sym11111354
Received: 15 September 2019 / Revised: 17 October 2019 / Accepted: 24 October 2019 / Published: 2 November 2019
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 a b c 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. View Full-Text
Keywords: symmetry algebra; Lie group; canonical connection; system of geodesic equations symmetry algebra; Lie group; canonical connection; system of geodesic equations
MDPI and ACS Style

Almusawa, H.; Ghanam, R.; Thompson, G. Classification of Symmetry Lie Algebras of the Canonical Geodesic Equations of Five-Dimensional Solvable Lie Algebras. Symmetry 2019, 11, 1354.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop