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

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  • Mircea Neagu

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.

Suggested Citation

  • Mircea Neagu, 2002. "The geometry of autonomous metrical multi-time Lagrange space of electrodynamics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:281306
    DOI: 10.1155/S0161171202011018
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