2024
DOI: 10.36753/mathenot.1409228
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On Characterization of Smarandache Curves Constructed by Modified Orthogonal Frame

Kemal Eren,
Soley Ersoy

Abstract: In this study, we investigate Smarandache curves constructed by a space curve with a modified orthogonal frame. Firstly, the relations between the Frenet frame and the modified orthogonal frame are summarized. Later, the Smarandache curves based on the modified orthogonal frame are obtained. Finally, the tangent, normal, binormal vectors and the curvatures of the Smarandache curves are determined. A special curve known as the Gerono lemniscate curve whose curvature is not differentiable, the principal normal a… Show more

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