ON DARBOUX HELICES IN THE COMPLEX SPACE C-3

Abstract

In this study, using Darboux vector of an isotropic curve given by Semin in [1], we give a characterization of isotropic Darboux helices in the complex space C-3. We show that an isotropic curve to be a Darboux helix has to have a constant pseudo curvature. We obtain the position vector of a nonzero fixed direction U. Then we give some characterizations related to the main theorem.