Magnetic curves on flat para-K\"ahler manifolds

Authors

MOHAMED JLELI
MARIAN IOAN MUNTEANU

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

Keywords

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

First Page

963

Last Page

969

Recommended Citation

JLELI, MOHAMED and MUNTEANU, MARIAN IOAN (2015) "Magnetic curves on flat para-K\"ahler manifolds," Turkish Journal of Mathematics: Vol. 39: No. 6, Article 15. https://doi.org/10.3906/mat-1503-40
Available at: https://journals.tubitak.gov.tr/math/vol39/iss6/15