Some characterizations of the slant helices according to N-Bishop frame in the Euclidean and Minkowski 3-spaces

The thesis consists of five sections. The historical development of our work in the introduction section is expressed. A summary of the sources according to the historical development in the previous studies has been made. In the material and method section, basic definitions and theorems related to Euclidean space, Minkowski space, general helix, slant helix, {N, C, W} alternative moving frame, Bishop frame are mentioned. In the results section the original of our working is given. In the original part, the characterization of slant helices according to the N-Bishop frame in Euclidean space was investigated. Later in Minkowski space the characterizations of the slant helix according to the N-Bishop frame of the timelike curve, the characterizations of the slant helix according to the N-Bishop frame of the spacelike curve which is the principal normal and binormal spacelike were examined. In the conclusion and suggestions section, a general evaluation of the thesis was made and suggestions were given to contribute to the next studies.