English

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

Differential Geometry 2010-10-12 v2 Dynamical Systems

Abstract

The aim of this paper is to construct natural geometrical objects on the 1-jet space J^1(T,R^5), where T/subsetRT/subset R, 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,/deltaij)/Delta = (1,/delta_{ij}) on T/timesR5T/times R^5.

Keywords

Cite

@article{arxiv.0707.3255,
  title  = {Geometrical Objects on the First Order Jet Space $J^1(T,R^5)$ Produced by the Lorenz Atmospheric DEs System},
  author = {Mircea Neagu},
  journal= {arXiv preprint arXiv:0707.3255},
  year   = {2010}
}

Comments

9 pages