Characterization of Curves in $\mathbb{E}^{2n+1}$ with 1-type Darboux Vector
Mathematica Moravica, Tome 17 (2013) no. 2.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Mots-clés : Darboux vector, biharmonic curves, Helices 
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     title = {Characterization of {Curves} in $\mathbb{E}^{2n+1}$ with 1-type {Darboux} {Vector}},
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H. Kocayiğit; G. Öztürk; B. ; Kılıç;  Bayram; B. Bulca; K. Arslan. Characterization of Curves in $\mathbb{E}^{2n+1}$ with 1-type Darboux Vector. Mathematica Moravica, Tome 17 (2013) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2013_17_2_a3/