  In this paper, we define f-eikonal helix curves and f-eikonal V_{n}-slant
helix curves in a n-dimensional Riemannian manifold. Also, we give the
definition of harmonic curvature functions related to f-eikonal helix curves
and f-eikonal V_{n}-slant helix curves in a n-dimensional Riemannian manifold.
Moreover, we give characterizations for f-eikonal helix curves and f-eikonal
V_{n}-slant helix curves by making use of the harmonic curvature functions.
