Arslan K.Kocayiğit H.Önder M.2024-07-222024-07-22201612251763http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16040In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space E3. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector. © 2016 Korean Mathematical Society.EnglishAll Open Access; Bronze Open AccessCharacterizations of space curves with 1-type Darboux instantaneous rotation vectorArticle10.4134/CKMS.2016.31.2.379