International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 27, Pages 1693-1702
doi:10.1155/S0161171203211145
Synge-Beil and Riemann-Jacobi jet structures with applications to physics
Vladimir Balan
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.