Closed trajectories of a particle model on null curves in anti-de Sitter 3-space
arXiv:0709.2017 · doi:10.1088/0264-9381/24/22/005
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.
12 pages, 1 figure