Generalized Metrical Multi-Time Lagrange Geometry of Physical Field

Abstract

The paper developes a geometrization of a Kronecker $h$-regular vertical fundamental metrical d-tensor $G_{(i)(j)}^{(\alpha )(\beta )}$ on the jet fibre bundle of order one $J^1(T,M)$. This geometrization gives a mathematical model for both gravitational and electromagnetic field theory, in a general setting. In this context, the Einstein and Maxwell equations are described.

27 pages

Cited by in corpus (2)

• The Geometry of Metrical Multi-time Lagrange Spaces
• Metrical Multi-Time Lagrange Geometry of Physical Fields