Slant curves in three-dimensional f-Kenmotsu manifolds

The aim of this paper is to study slant curves of three-dimensional f-Kenmotsu manifolds. These curves are characterized through the scalar product between the normal at the curve and the Reeb vector field. The classification of slant curves in the hyperbolic three-dimensional space is provided as well as some remarkable cases. Slant curves with proper mean curvature vector field are characterized.