Characterizations of space curves according to bishop darboux vector in euclidean 3-space

In this paper, we obtained some characterizations of space curves according to Bihop frame in Euclidean 3-space by using Laplacian operator and Levi-Civita connection. In the first section, basic definitions are given. In the second section, some part about Bishop Frame which is base of our research from [18] are given. In the third section, we obtain some chracterization of space curves according to Bishop Frame in 3-Eucledian Space by using Laplace oparator and Levi-Civita connection. Also we give general differantioanal equations which is characterization of space curves, according to Bishop Darboux vector and normal Bishop Darboux vector.