Magnetic Curves in $C$-manifolds

Abstract

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

References in corpus (2)

• The Gauss-Landau-Hall problem on Riemannian surfaces
• On Slant Magnetic Curves in $S$-manifolds