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 \(({M^{2m + s}},\varphi ,\xi \alpha ,{\eta ^\alpha },g)\) 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 ℝ2n+s(—3s) and give the parametric equations of these curves.
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Güvenç, Ş., Özgür, C. On Slant Magnetic Curves in S-manifolds. J Nonlinear Math Phys 26, 536–554 (2019). https://doi.org/10.1080/14029251.2019.1640463
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DOI: https://doi.org/10.1080/14029251.2019.1640463