On Slant Magnetic Curves in $S$-manifolds

We consider slant normal magnetic curves in $(2n+1)$-dimensional $S$-manifolds. We prove that $γ$ is a slant normal magnetic curve in an $$-manifold $(M^{2m+s},φ,ξ_{α},η^{α},g)$ if and only if it belongs to a list of slant $φ$-curves satisfying some special curvature equations. This list consists of some specific geodesics, slant circles, Legendre and slant helices of order $3$. We construct slant normal magnetic curves in $\mathbb{R}^{2n+s}(-3s)$ and give the parametric equations of these curves.

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