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arXiv · 2201.09684

Helices associated to helical curves, relatively normal-slant helices and isophote curves

Mehmet Önder
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Abstract

This study introduces a new type of general helix called associated helix which is associated to a special surface curve. The basic idea is to determinate the parametric form of an associated helix by means of Darboux frame and surface curvatures of a special surface curve such as helical curve, relatively normal-slant helix or isophote curve. For each surface curve, a differential equation system is obtained and by solving this system, parametric form of an associated helix is introduced.

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Mehmet Önder. 2022-01-17. Helices associated to helical curves, relatively normal-slant helices and isophote curves. https://arxiv.org/abs/2201.09684

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