Magnetic Curves in Homothetic s -th Sasakian Manifolds

Şaban Güvenç and Cihan Özgür ()
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Şaban Güvenç: Department of Mathematics, Balikesir University, 10145 Balikesir, Türkiye
Cihan Özgür: Department of Mathematics, İzmir Democracy University, 35140 İzmir, Türkiye

Mathematics, 2025, vol. 13, issue 1, 1-18

Abstract: We investigate normal magnetic curves in ( 2 n + s ) -dimensional homothetic s -th Sasakian manifolds as a generalization of S -manifolds. We show that a curve γ is a normal magnetic curve in a homothetic s -th Sasakian manifold if and only if its osculating order satisfies r ≤ 3 and it belongs to a family of θ i -slant helices. Additionally, we construct a homothetic s -th Sasakian manifold using generalized D -homothetic transformations and present the parametric equations of normal magnetic curves in this manifold.

Keywords: magnetic curve; ? i -slant curve; homothetic s -th Sasakian manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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