paper

Metrical Multi-Time Lagrange Geometry of Physical Fields

arXiv:math/0009117

Abstract

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.

19 pages, A version of this paper was presented at Workshop on Differential Geometry, Global Analysis and Lie Algebras, Aristotle University of Thessaloniki, Greece, Aug. 28-Sept. 2, 2000

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