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

2022/01/17 by Önder, Mehmet
#53A04 #53A05 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2201.09684

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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