Characterization of Curves in $\mathbb{E}^{2n+1}$ with 1-type Darboux Vector

H. Kocayiğit, G. Öztürk, B. (Kılıç) Bayram, B. Bulca, K. Arslan

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