English

Galilean Classification of Curves

Mathematical Physics 2007-11-14 v1 math.MP

Abstract

In this paper, we classify space-time curves up to Galilean group of transformations with Cartan's method of equivalence. As an aim, we elicit invariats from action of special Galilean group on space-time curves, that are, in fact, conservation laws in physics. We also state a necessary and sufficient condition for equivalent Galilean motions.

Keywords

Cite

@article{arxiv.0711.1979,
  title  = {Galilean Classification of Curves},
  author = {Mehdi Nadjafikhah and Ali Mahdipour Shirayeh},
  journal= {arXiv preprint arXiv:0711.1979},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-06-21T09:42:55.429Z