Approximate Lie Symmetry Conditions of Autoparallels and Geodesics
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 deter...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/8814657 |
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| _version_ | 1832546819771465728 |
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| author | Sameerah Jamal |
| author_facet | Sameerah Jamal |
| author_sort | Sameerah Jamal |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-915a4848aed646309182489ed6e76ac7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-915a4848aed646309182489ed6e76ac72025-02-03T06:46:59ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/88146578814657Approximate Lie Symmetry Conditions of Autoparallels and GeodesicsSameerah Jamal0School of Mathematics, University of the Witwatersrand, Johannesburg, South AfricaThis 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.http://dx.doi.org/10.1155/2020/8814657 |
| spellingShingle | Sameerah Jamal Approximate Lie Symmetry Conditions of Autoparallels and Geodesics Abstract and Applied Analysis |
| title | Approximate Lie Symmetry Conditions of Autoparallels and Geodesics |
| title_full | Approximate Lie Symmetry Conditions of Autoparallels and Geodesics |
| title_fullStr | Approximate Lie Symmetry Conditions of Autoparallels and Geodesics |
| title_full_unstemmed | Approximate Lie Symmetry Conditions of Autoparallels and Geodesics |
| title_short | Approximate Lie Symmetry Conditions of Autoparallels and Geodesics |
| title_sort | approximate lie symmetry conditions of autoparallels and geodesics |
| url | http://dx.doi.org/10.1155/2020/8814657 |
| work_keys_str_mv | AT sameerahjamal approximateliesymmetryconditionsofautoparallelsandgeodesics |