English

Null-curves in R^{2,n} as flat dynamical systems

Mathematical Physics 2016-01-21 v1 math.MP Optimization and Control

Abstract

We prove that the differential equation for the null-curves of pseudo-Euclidean space R^{2,n} defines a flat dynamical system in the sense of optimal control theory. The connection with general gauge theories is briefly discussed.

Cite

@article{arxiv.1510.08608,
  title  = {Null-curves in R^{2,n} as flat dynamical systems},
  author = {A. M. Latyshev and S. L. Lyakhovich and A. A. Sharapov},
  journal= {arXiv preprint arXiv:1510.08608},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T11:31:53.886Z