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 ${\mathbb{E}}^{2n}_n$.

DOI

10.3906/mat-1503-40

Keywords

Magnetic field, para-K\"ahler manifold, circle

First Page

963

Last Page

969

Recommended Citation

JLELI, M, & MUNTEANU, M. I (2015). Magnetic curves on flat para-K\"ahler manifolds. Turkish Journal of Mathematics 39 (6): 963-969. https://doi.org/10.3906/mat-1503-40

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