2020 Approximate Lie Symmetry Conditions of Autoparallels and Geodesics
Sameerah Jamal
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Abstr. Appl. Anal. 2020: 1-5 (2020). DOI: 10.1155/2020/8814657

Abstract

This paper is devoted to the study of approximate Lie point symmetries of general autoparallel systems. The significance of such systems is that they characterize the equations of motion of a Riemannian space under an affine parametrization. In particular, we formulate the first-order symmetry determining equations based on geometric requirements and stipulate that the underlying Riemannian space be approximate in nature. Lastly, we exemplify the results by application to some approximate wave-like manifolds.

Acknowledgments

This study has received financial support from the National Research Foundation of South Africa (99279).

Citation

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Sameerah Jamal. "Approximate Lie Symmetry Conditions of Autoparallels and Geodesics." Abstr. Appl. Anal. 2020 1 - 5, 2020. https://doi.org/10.1155/2020/8814657

Information

Received: 21 August 2020; Accepted: 14 October 2020; Published: 2020
First available in Project Euclid: 28 July 2020

Digital Object Identifier: 10.1155/2020/8814657

Rights: Copyright © 2020 Hindawi

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