$ Q $-Frame Normal Parallel Curves in $ 3 $-Dimensional Euclidean Space

Abstract

In this article, the parallel curve of a unit speed curve with respect to its quasi-frame in 3-dimensional Euclidean space is studied. The definition of the q -frame parallel curve based on the quasi-normal vector at a constant distance from the unit speed curve is provided. Accordingly, the frame elements of the q -frame normal parallel curve for the projection vectors k = (1,0,0) , k = (0,1,0) and k = (0,0,1) are given separately.

Keywords

• $q$-frame
• $q$-frame normal parallel curves.
• The quasi frame of the normal parallel curves

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