Smarandache Curves According to Flc-frame in Euclidean 3-space

Abstract

The paper investigates some special Smarandache curves according to Flc-frame in Euclidean 3-space. The Frenet and Flc frame vectors, curvature and torsion of the new constructed curves are expressed by means of the initial curve invariants. For the sake of comparison in view, an example for Smarandache curves according to both Frenet and Flc frame is also presented at the end of paper.

Keywords

• Flc-frame
• natural curvatures
• polynomial curves
• Smarandache curves.

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