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On Slant Magnetic Curves in $S$-manifolds

General Mathematics 2020-04-14 v1

Abstract

We consider slant normal magnetic curves in (2n+1)(2n+1)-dimensional SS-manifolds. We prove that γ\gamma is a slant normal magnetic curve in an % S -manifold (M2m+s,φ,ξα,ηα,g)(M^{2m+s},\varphi ,\xi _{\alpha },\eta ^{\alpha },g) if and only if it belongs to a list of slant φ\varphi -curves satisfying some special curvature equations. This list consists of some specific geodesics, slant circles, Legendre and slant helices of order 33. We construct slant normal magnetic curves in R2n+s(3s)\mathbb{R}^{2n+s}(-3s) and give the parametric equations of these curves.

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Cite

@article{arxiv.1903.08992,
  title  = {On Slant Magnetic Curves in $S$-manifolds},
  author = {Şaban Güvenç and Cihan Özgür},
  journal= {arXiv preprint arXiv:1903.08992},
  year   = {2020}
}

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16 pages