Journal of Nonlinear Mathematical Physics

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
https://doi.org/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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 4
Pages
536 - 554
Publication Date
2019/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2019.1640463How to use a DOI?
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/).

Cite this article

TY  - JOUR
AU  - Güvenç Şaban
AU  - Cihan Özgür
PY  - 2019
DA  - 2019/07
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  - https://doi.org/10.1080/14029251.2019.1640463
ID  - Şaban2019
ER  -