Magnetic curves on flat para-K`ahler manifolds

Authors : MOHAMED JLELI, MARIAN IOAN MUNTEANU

Pages : 963-969

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Publication Date : 0000-00-00

Article Type : Research Paper

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 $insert ignore into journalissuearticles values(M,\p,g);$ 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