English

Jet Geometrical Objects Produced by Linear ODEs Systems and Superior Order ODEs

Differential Geometry 2011-02-17 v2 Dynamical Systems

Abstract

The aim of this paper is to construct a Riemann-Lagrange geometry on 1-jet spaces, in the sense of d-connections, d-torsions, d-curvatures, electromagnetic d-field and geometric electromagnetic Yang-Mills energy, starting from a given linear ODEs system or a given superior order ODE. The case of a non-homogenous linear ODE of superior order is disscused.

Keywords

Cite

@article{arxiv.0707.4251,
  title  = {Jet Geometrical Objects Produced by Linear ODEs Systems and Superior Order ODEs},
  author = {Mircea Neagu},
  journal= {arXiv preprint arXiv:0707.4251},
  year   = {2011}
}

Comments

16 pages

R2 v1 2026-06-21T09:02:42.666Z