The geometry of autonomous metrical multi-time Lagrange space of electrodynamics

Mircea Neagu

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-9

Abstract:

The aim of this paper is to create a large geometrical background for the study of important branch of physics: electrodynamics, bosonic strings theory, magneto-hydrodynamics, and so forth. The geometrical construction is realized on the 1-jet fibre bundle J 1 ( T , M ) and is produced by a given quadratic multi-time Lagrangian function L . The Riemann-Lagrange geometry of the space E D M L p n = ( J 1 ( T , M ) , L ) , in the sense of d -connections, torsion and curvature d -tensors, allows the construction of a natural generalized multi-time field theory on E D M L P n , in the sense of generalized Maxwell and Einstein equations.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:281306

DOI: 10.1155/S0161171202011018

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