Null Frenet-Serret Dynamics

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.

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

Cited by in corpus (2)

• Hamiltonian flows on null curves
• Auxiliary fields in the geometrical relativistic particle dynamics