Closed trajectories of a particle model on null curves in anti-de Sitter 3-space

Details Closed trajectories of a particle model on null curves in anti-de Sitter 3-space Closed trajectories of a particle model on null curves in anti-de Sitter 3-space

2007-09-13

arxiv.org/abs/0709.2017v1

Class.Quant.Grav.24:5401-5412,2007

Mathematics

Differential Geometry

12 pages, 1 figure

Scientific paper

10.1088/0264-9381/24/22/005

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.

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