Magnetic curves on flat para-K"ahler manifolds
Authors : Mohamed Jleli, Marian Ioan Munteanu
Pages : 963-969
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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 ${\mathbb{E}}^{2n}_n$.Keywords : Magnetic field, para-K"ahler manifold, circle