Affiliation:
1. Department of Elementary Education, Faculty of Education, Pamukkale University, Kinikli Campus, Denizli, Turkey
Abstract
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.
Subject
Applied Mathematics,General Physics and Astronomy
Cited by
2 articles.
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1. Some notes on lifts of the F((υ+1),λ²(υ-1))-structure on cotangent and tangent bundle;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2021-06-30
2. Weyl–Euler–Lagrange equations on twistor space for tangent structure;International Journal of Geometric Methods in Modern Physics;2016-07-25