Smarandache Curves In Euclidean 4 Space E 4

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Smarandache curves in Euclidean 4 space E 4

The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E4 and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E4.
Smarandache curves in Euclidean 4 space E 4

The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E4, and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E4.
COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE

In this paper, we study some special Smarandache curves and their di erential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4. Moreover, we defray some computational examples in support our main results.