On f-Eikonal Helices And f-Eikonal Slant Helices In Riemannian Manifolds
  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. 
Ali \c{S}enol, Evren Ziplar and Yusuf Yayli
math.DG