engleski

Contact magnetic curves in SOL space

Magnetic curves represent trajectories of charged particles moving on a Riemannian manifold under the action of a magnetic field. Among the eight 3D homogeneous model spaces, S^3, Nil, SL(2, R) and Sol admit a contact structure compatible to the metric. The compatible contact structure naturally induces a magnetic field on these four model spaces. In this talk we consider magnetic curves with respect to the canonical contact structure of the Sol space.

SOL geometry, magnetic curve, contact structure

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