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Turkish Journal of Mathematics

DOI

10.3906/mat-1503-40

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

First Page

963

Last Page

969

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Mathematics Commons

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