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Models, describing relativistic particles, where Lagrangian densities dependlinearly on both the curvature and the torsion of the trajectories, arerevisited in D=3 space forms. The moduli spaces of trajectories are completelyand explicitly determined using the Lancret program. The moduli subspaces ofclosed solitons in the three sphere are also determined.Comment: 13 page

Letter: Models of Relativistic Particle with Curvature and Torsion Revisited