  In this study, we give definitions and characterizations of eikonal slant
helix curves, eikonal Darboux helices and non-normed eikonal Darboux helices in
three dimensional Riemannian manifold 3 M . We show that every eikonal slant
helix is also an eikonal Darboux helix. Furthermore, we obtain that if the
curve a is a non-normed eikonal Darboux helix, then a is an eikonal slant helix
if and only if k 2 +t 2 = constant, where k and t are curvature and torsion of
a, respectively.
