English

Null Frenet-Serret Dynamics

Mathematical Physics 2016-06-17 v1 Differential Geometry math.MP

Abstract

We consider the Frenet-Serret geometry of null curves in a three and a four-dimensional Minkowski background. We develop a theory of deformations adapted to the Frenet-Serret frame. We exploit it to provide a Lagrangian description of the dynamics of geometric models for null curves.

Cite

@article{arxiv.math-ph/0702042,
  title  = {Null Frenet-Serret Dynamics},
  author = {Riccardo Capovilla and Jemal Guven and Efrain Rojas},
  journal= {arXiv preprint arXiv:math-ph/0702042},
  year   = {2016}
}

Comments

5 pages, no figures, RevTex. Dedicated to Mike Ryan on his sixtieth birthday