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On Slant Magnetic Curves in S-manifolds
Journal of Nonlinear Mathematical Physics ( IF 1.4 ) Pub Date : 2019-07-09 , DOI: 10.1080/14029251.2019.1640463
Şaban Güvenç 1 , Cihan Özgür 1
Affiliation  

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 Smanifold (M, φ, ξα, η, g) if and only if it belongs to a list of slant φcurves 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(−3s) and give the parametric equations of these curves.

中文翻译:

关于 S 流形中的倾斜磁曲线

摘要。我们考虑 (2n+1) 维 S 流形中的倾斜法向磁曲线。我们证明 γ 是 Smanifold (M, φ, ξα, η, g) 中的倾斜法向磁曲线,当且仅当它属于满足某些特殊曲率方程的倾斜 φ 曲线列表。该列表由一些特定的测地线、斜圆、勒让德和 3 阶斜螺旋组成。我们在 R(-3s) 中构造斜法向磁曲线并给出这些曲线的参数方程。
更新日期:2019-07-09
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