Closed trajectories of a particle model on null curves in anti-de Sitter 3-space
classification
🧮 math.DG
math-phmath.MP
keywords
trajectoriesclosedparticleanti-decurvesexistencemodelnull
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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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