Metrical Multi-Time Lagrange Geometry of Physical Fields

Details Metrical Multi-Time Lagrange Geometry of Physical Fields Metrical Multi-Time Lagrange Geometry of Physical Fields

2000-09-12

arxiv.org/abs/math/0009117v2

"Riemann-Lagrange geometrical background for multi-time physical fields", Balkan J. of Geom. and Appl., 6, 2 (2001), 49-71

Mathematics

Differential Geometry

19 pages, A version of this paper was presented at Workshop on Differential Geometry, Global Analysis and Lie Algebras, Aristo

Scientific paper

The author exposes the metrical multi-time Lagrange geometry of physical
fields which naturally generalizes the classical Lagrangian developped by Miron
and Anastasiei. In other words, one constructs a natural theory of physical
fields on the 1-jet fibre bundle, attached to a Kronecker h-regular multi-time
Lagrangian with partial derivatives of order one.

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