4- boyutlu öklid uzayında çatılandırılmış bir eğriyle bağlantılı integral eğrileri

This study consists of three chapters. The first chapter includes the introduction. In the second chapter, fundamental concepts in Euclidean space are presented. Additionally, helices in 4-dimensional Euclidean space are examined according to the Frenet frame, and the characterizations of these helices (general helix, slant helix, and B₂–slant helix) are provided. Then, the definition of connected curves in 4-dimensional Euclidean space and some of their characterizations are given. Curves with frames in 4-dimensional Euclidean space are also studied. The third chapter forms the original part of this study. In this chapter, integral curves associated with a framed curve in 4-dimensional Euclidean space are investigated.