On Slant Magnetic Curves in S-manifolds

Abstract

We consider slant normal magnetic curves in (2n + 1)-dimensional S-manifolds. We prove that γ is a slant normal magnetic curve in an S-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 ℝ2^n+s(–3s) and give the parametric equations of these curves.

Keywords:

• Magnetic curve
• slant curve
• S-manifold

2010 Mathematics Subject Classification:

• 53C25
• 53C40
• 53A04