AW(k)-Type Curves in Modified Orthogonal Frame

Abstract

The goal of this article is to examine AW(k)-type curves in Euclidean 3- space according to a modified orthogonal frame with the non-zero curvature. Firstly, the relations between the curvatures for AW(k)-type curves in modified orthogonal frame are given. Also, harmonic curvatures of AW(k)-type curves according to this frame are obtained. The results are illustrated on examples. Finally, slant helices are analysed for the modified orthogonal frame and some relations are obtained for the curvatures of the curve to be of AW(1) and AW(2) type in case the curve be a slant helix.

Keywords

• AW(k)-type curves
• Modified orthogonal frame
• Harmonic curvatures
• Slant helices

Kaynakça

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