Smarandache curves in Euclidean 4- space E 4

The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E ⁴ , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E ⁴ . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve.