Certain Curves in $f$-Kenmotsu 3-Manifolds Admitting Semi-Symmetric Metric Connection

In this paper, we study biharmonic Legendre curves and slant curve in a three-dimensional $f$-Kenmotsu manifold with respect to semi-symmetric metric connection. We find curvature and torsion of Legendre curve in a three-dimensional $f$-Kenmotsu manifold with respect to semi-symmetric metric connection. Also, we study $C-$parallel and $C-$proper mean curvature vector fields in the tangent and normal bundles in a three-dimensional $f$-Kenmotsu manifold with respect to semi-symmetric metric connection.