The Use of Differential Forms to Linearize a Class of Geodesic Equations

https://doi.org/10.46481/jnsps.2022.957

Authors

  • J. M. Orverem Department of Mathematical Sciences, Abubakar Tafawa Balewa University Bauchi, Bauchi State, Nigeria; Department of Mathematical Sciences, Federal University Dutsin-Ma, Katsina State, Nigeria
  • Y. Haruna Department of Mathematical Sciences, Abubakar Tafawa Balewa University Bauchi, Bauchi State, Nigeria
  • B. M. Abdulhamid Department of Mathematical Sciences, Abubakar Tafawa Balewa University Bauchi, Bauchi State, Nigeria
  • M. Y. Adamu Department of Mathematical Sciences, Abubakar Tafawa Balewa University Bauchi, Bauchi State, Nigeria

Keywords:

Differential Forms, Linearization, Geodesics Equations, Ordinary Differential Equations, Second Order

Abstract

Lie was the first to consider linearization of differential equations many years ago. Since then, a great deal of research has been done on linearization of differential equations using various methodologies. Surprisingly, there has not been much progress in linearizing geodesic differential equations. In particular, the use of differential forms to linearize a class of geodesic equations is not documented in the literature. Differential forms are used to linearize a class of geodesic differential equations in this research. Geodesics on a plane, geodesics on a cone, and geodesics on a sphere are examples. The solutions to these equations were discovered during the linearization process, as the findings of this study are distinctive, innovative, and original.

Dimensions

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Published

2022-10-08

How to Cite

The Use of Differential Forms to Linearize a Class of Geodesic Equations. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 957. https://doi.org/10.46481/jnsps.2022.957

Issue

Volume 4, Issue 4, November 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 J. M. Orverem, Y. Haruna, B. M. Abdulhamid, M. Y. Adamu

Creative Commons License

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The Journal of the Nigerian Society of Physical Sciences (JNSPS) is published under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)4.0 (CC BY-NC) license. This license was developed to facilitate open access, namely, it allows articles to be freely downloaded and to be re-used and re-distributed without restriction, as long as the original work is correctly cited. More specifically, anyone may copy, distribute or reuse these articles, create extracts, abstracts, and other revised versions, adaptations or derivative works of or from an article, mine the article even for commercial purposes, as long as they credit the author(s).

How to Cite

The Use of Differential Forms to Linearize a Class of Geodesic Equations. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 957. https://doi.org/10.46481/jnsps.2022.957