Differential equations characterizations of the harmonic and harmonic 1-type curves according to N-bishop frame

The thesis consists of five sections. The historical development of our work in the introduction section is expressed. In the material and method section, basic consepts and theorems related to Euclidean space, N-Bishop frame, harmonic 1-type N-Bishop space curves, general helix, slant helix, NCW alternative moving frame, harmonic 1-type NCW space curves, Darboux vector are mentioned. In the results section the original of our working is given. In the original part, the characterization of space curves according to the NCW frame in Euclidean space with harmonic 1-type NCW space curves was investigated and the characterizations of the curves according to the Darboux and normal Darboux vector with the alternatif moving frame in the Euclidean space was investigated. Later the characterization of space curves according to the N-Bishop frame in Euclidean space and harmonic 1-Type NBishop space curve's was investigated. The characterizations of the curves according to the Darboux vector with the N-Bishop frame in the Euclidean space was investigated. In the examples part, examples according to my works were made. In the last section, a general evaluation of the thesis was made and suggestions were given to contribute to the next studies.