Magnetic curves on flat para-K¨ahler manifolds

Magnetic curves on flat para-K¨ahler manifolds

In this paper we prove that spacelike and timelike magnetic trajectories corresponding to the para-K¨ahler 2-form on a para-K¨ahler manifold (M, P, g) are circles on M . We then classify all para-K¨ahler magnetic curves in pseudo-Euclidean spaces E 2n n .

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