In Sasakian Lorentzian 3-manifolds, every non-geodesic Legendre Frenet curve is a contact whirl curve with constant torsion τ=1, and magnetic contact whirl curves must also be Legendre with the same torsion.
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Contact Whirl Curves in Sasakian Lorentzian 3-Manifolds
In Sasakian Lorentzian 3-manifolds, every non-geodesic Legendre Frenet curve is a contact whirl curve with constant torsion τ=1, and magnetic contact whirl curves must also be Legendre with the same torsion.