Characterization of curves in e 2n+1 with 1-type darboux vector

Abstract

In this study, we give some characterizations on the Darboux instantaneous rotation vector field of the curves in Euclidean (2n + 1)-space E 2n+1 by using Laplacian operator. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vector.