English

Magnetic Curves in $C$-manifolds

Differential Geometry 2022-05-04 v1

Abstract

In this paper, we study normal magnetic curves in CC-manifolds. We prove that magnetic trajectories with respect to the contact magnetic fields are indeed θα\theta_{\alpha }-slant curves with certain curvature functions. Then, we give the parametrizations of normal magnetic curves in R2n+s\mathbb{R}^{2n+s} with its structures as a CC-manifold.

Keywords

Cite

@article{arxiv.2102.13623,
  title  = {Magnetic Curves in $C$-manifolds},
  author = {Şaban Güvenç},
  journal= {arXiv preprint arXiv:2102.13623},
  year   = {2022}
}
R2 v1 2026-06-23T23:33:10.786Z