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Magnetic Curves in Homothetic s -th Sasakian Manifolds

Author

Listed:
  • Şaban Güvenç

    (Department of Mathematics, Balikesir University, 10145 Balikesir, Türkiye
    These authors contributed equally to this work.)

  • Cihan Özgür

    (Department of Mathematics, İzmir Democracy University, 35140 İzmir, Türkiye
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Şaban Güvenç & Cihan Özgür, 2025. "Magnetic Curves in Homothetic s -th Sasakian Manifolds," Mathematics, MDPI, vol. 13(1), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:1:p:159-:d:1560108
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