Weyl-Euler-Lagrange Equations of Motion on Flat Manifold
This paper deals with Weyl-Euler-Lagrange equations of motion on flat manifold. It is well known that a Riemannian manifold is said to be flat if its curvature is everywhere zero. Furthermore, a flat manifold is one Euclidean space in terms of distances. Weyl introduced a metric with a conformal tra...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/808016 |
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| _version_ | 1832558887299973120 |
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| author | Zeki Kasap |
| author_facet | Zeki Kasap |
| author_sort | Zeki Kasap |
| collection | DOAJ |
| description | This paper deals with Weyl-Euler-Lagrange equations of motion on flat manifold. It is well known that a Riemannian manifold is said to be flat if its curvature is everywhere zero. Furthermore, a flat manifold is one Euclidean space in terms of distances. Weyl introduced a metric with a conformal transformation for unified theory in 1918. Classical mechanics is one of the major subfields of mechanics. Also, one way of solving problems in classical mechanics occurs with the help of the Euler-Lagrange equations. In this study, partial differential equations have been obtained for movement of objects in space and solutions of these equations have been generated by using the symbolic Algebra software. Additionally, the improvements, obtained in this study, will be presented. |
| format | Article |
| id | doaj-art-b57d5bcf388b4e05936902b96b26e0ca |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-b57d5bcf388b4e05936902b96b26e0ca2025-02-03T01:31:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/808016808016Weyl-Euler-Lagrange Equations of Motion on Flat ManifoldZeki Kasap0Department of Elementary Education, Faculty of Education, Pamukkale University, Kinikli Campus, Denizli, TurkeyThis paper deals with Weyl-Euler-Lagrange equations of motion on flat manifold. It is well known that a Riemannian manifold is said to be flat if its curvature is everywhere zero. Furthermore, a flat manifold is one Euclidean space in terms of distances. Weyl introduced a metric with a conformal transformation for unified theory in 1918. Classical mechanics is one of the major subfields of mechanics. Also, one way of solving problems in classical mechanics occurs with the help of the Euler-Lagrange equations. In this study, partial differential equations have been obtained for movement of objects in space and solutions of these equations have been generated by using the symbolic Algebra software. Additionally, the improvements, obtained in this study, will be presented.http://dx.doi.org/10.1155/2015/808016 |
| spellingShingle | Zeki Kasap Weyl-Euler-Lagrange Equations of Motion on Flat Manifold Advances in Mathematical Physics |
| title | Weyl-Euler-Lagrange Equations of Motion on Flat Manifold |
| title_full | Weyl-Euler-Lagrange Equations of Motion on Flat Manifold |
| title_fullStr | Weyl-Euler-Lagrange Equations of Motion on Flat Manifold |
| title_full_unstemmed | Weyl-Euler-Lagrange Equations of Motion on Flat Manifold |
| title_short | Weyl-Euler-Lagrange Equations of Motion on Flat Manifold |
| title_sort | weyl euler lagrange equations of motion on flat manifold |
| url | http://dx.doi.org/10.1155/2015/808016 |
| work_keys_str_mv | AT zekikasap weyleulerlagrangeequationsofmotiononflatmanifold |