engleski

Killing magnetic curves in SL(2, R) geometry

Magnetic curves represent trajectories of charged particles moving on a Riemannian manifold under the action of a magnetic field. A vector field X is a Killing vector field if the Lie derivative with respect to X of the ambient space metric g vanishes. The Killing vector field can be interpreted as an infinitesimal generator of isometry on the manifold in the sense that the flow generated by this field is a continuous isometry of the manifold. The trajectories corresponding to the Killing magnetic fields are called the Killing magnetic curves. In this talk we study the Killing magnetic curves in SL(2, R) space.

Magnetic curve, Killing vector field, SL(2, R) geometry

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