Volume 26, Issue 4, July 2019, Pages 536 - 554
On Slant Magnetic Curves in S-manifolds
Authors
Güvenç Şaban
Department of Mathematics, Balikesir University, Balikesir, 10145, Turkey,sguvenc@balikesir.edu.tr
Cihan Özgür
Department of Mathematics, Balikesir University, Balikesir, 10145, Turkey,cozgur@balikesir.edu.tr
Received 1 September 2018, Accepted 22 April 2019, Available Online 9 July 2019.
- DOI
- 10.1080/14029251.2019.1640463How to use a DOI?
- Keywords
- Magnetic curve; slant curve; S-manifold
- 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 (M2m+s, φ, ξα, ηα, 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.
- Copyright
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Güvenç Şaban AU - Cihan Özgür PY - 2019 DA - 2019/07/09 TI - On Slant Magnetic Curves in S-manifolds JO - Journal of Nonlinear Mathematical Physics SP - 536 EP - 554 VL - 26 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1640463 DO - 10.1080/14029251.2019.1640463 ID - Şaban2019 ER -