Conservation laws for the geodesic equations of the canonical connection on Lie groups in dimensions two and three

Ryad Ghanam, Ahmad Y. Al-Dweik

Research output: Contribution to journalArticle

Abstract

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 Noether's symmetries Lie Algebras is investigated. The corresponding conservation laws and the first integral for each geodesics are constructed.

Original languageEnglish
Pages (from-to)311-318
Number of pages8
JournalApplied Mathematics and Information Sciences
Volume7
Issue number1
Publication statusPublished - Jan 2013
Externally publishedYes

Fingerprint

Lie groups
Conservation Laws
Algebra
Geodesic
Three-dimension
Conservation
Two Dimensions
Noether
Second Order ODE
Symmetry
Linear Connection
First Integral
Lie Algebra

Keywords

  • Canonical linear connection on lie groups
  • Conservations laws
  • Geodesic equations
  • Inverse problem of lagrangian dynamics
  • Systems of second-order ODEs

ASJC Scopus subject areas

  • Applied Mathematics
  • Numerical Analysis
  • Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Conservation laws for the geodesic equations of the canonical connection on Lie groups in dimensions two and three. / Ghanam, Ryad; Al-Dweik, Ahmad Y.

In: Applied Mathematics and Information Sciences, Vol. 7, No. 1, 01.2013, p. 311-318.

Research output: Contribution to journalArticle

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