On slant magnetic curves in s-manifolds

Abstract

We consider slant normal magnetic curves in (2n + 1)-dimensional S-manifolds. We prove that gamma is a slant normal magnetic curve in an S-manifold (M2m+s, phi, xi(alpha), eta(alpha), g) if and only if it belongs to a list of slant phi-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 Double-struck capital R2(n)(+s)(-3s) and give the parametric equations of these curves.