Closed trajectories of a particle model on null curves in anti-de Sitter 3-space
Differential Geometry
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
We study the existence of closed trajectories of a particle model on null curves in anti-de Sitter 3-space defined by a functional which is linear in the curvature of the particle path. Explicit expressions for the trajectories are found and the existence of infinitely many closed trajectories is proved.
Keywords
Cite
@article{arxiv.0709.2017,
title = {Closed trajectories of a particle model on null curves in anti-de Sitter 3-space},
author = {Emilio Musso and Lorenzo Nicolodi},
journal= {arXiv preprint arXiv:0709.2017},
year = {2008}
}
Comments
12 pages, 1 figure