Synge-Beil and Riemann-Jacobi jet structures with applications to physics

Author:

Balan Vladimir1

Affiliation:

1. Department Mathematics I, Politehnica University of Bucharest, Splaiul Independenţei 313, Bucharest RO-77206, Romania

Abstract

In the framework of geometrized first-order jet approach, we study the Synge-Beil generalized Lagrange jet structure, derive the canonic nonlinear and Cartan connections, and infer the Einstein-Maxwell equations with sources; the classical ansatz is emphasized as a particular case. The Lorentz-type equations are described and the attached Riemann-Jacobi structures for two certain uniparametric cases are presented.

Funder

Consiliul National al Cercetarii Stiintifice

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optics in anisotropic inhomogeneous media and Lagrange geometry;International Journal of Geometric Methods in Modern Physics;2022-06-21

2. Geometric Framework for Unified Field Theory Using Finsler Gauge Transformation;Chinese Journal of Mathematics;2016-08-22

3. An anisotropic geometrical approach for non-relativistic extended dynamics;Ricerche di Matematica;2013-04-26

4. Distinguished geodesics and jacobi fields on first order jet spaces;Central European Journal of Mathematics;2004-08

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