Metrical Multi-Time Lagrange Geometry of Physical Fields
Differential Geometry
2010-07-29 v2 Metric Geometry
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.
Cite
@article{arxiv.math/0009117,
title = {Metrical Multi-Time Lagrange Geometry of Physical Fields},
author = {Mircea Neagu},
journal= {arXiv preprint arXiv:math/0009117},
year = {2010}
}
Comments
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