Geometrical Objects on the First Order Jet Space $J^1(T,R^5)$ Produced by the Lorenz Atmospheric DEs System

Abstract

The aim of this paper is to construct natural geometrical objects on the 1-jet space J^1(T,R^5), where $T/subsetR$, like a non-linear connection, a generalized Cartan connection, together with its d-torsions and d-curvatures, a jet electromagnetic d-field and a jet Yang-Mills energy, starting from the given Lorenz atmospheric DEs system and the pair of Euclidian metrics $/Delta=(1,/delt{a}_{ij})$ on $T/times{R}^5$.

9 pages