Jet Geometrical Objects Depending on a Relativistic Time
Differential Geometry
2010-09-14 v2
Abstract
In this paper we study a collection of jet geometrical concepts, we refer to d-tensors, relativistic time dependent semisprays, harmonic curves and nonlinear connections on the 1-jet space J1(R;M), necessary to the construction of a Miron's-like geometrization for Lagrangians depending on a relativistic time. The geometrical relations between these jet geometrical objects are exposed.
Cite
@article{arxiv.0801.2369,
title = {Jet Geometrical Objects Depending on a Relativistic Time},
author = {Mircea Neagu},
journal= {arXiv preprint arXiv:0801.2369},
year = {2010}
}
Comments
19 pages; The author thanks the referee of Analele Stiintifice ale Universitatii "Al.I.Cuza" din Iasi. Matematica for its remarks and useful suggestions