On Slant Magnetic Curves in S-manifolds. Issue 4 (2nd October 2019)

• Record Type: Journal Article
• Authors: Güvenç, Şaban; Özgür, Cihan
• Is Part Of: Journal of nonlinear mathematical physics. Volume 26:Issue 4(2019)
• Page Start: 536
• Page End: 554
• Publication Date: 2019-10-02
• Subjects: Magnetic curve -- slant curve -- S-manifold; 53C25 -- 53C40 -- 53A04; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2019.1640463
• Languages: English
• ISSNs: 1402-9251

Abstract

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