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arxiv: 1508.05439 · v1 · pith:JWF4S52Tnew · submitted 2015-08-22 · 🧮 math.DG

On characteristic curves of developable surfaces in Euclidean 3-space

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keywords curvesdevelopablehelixcharacteristiccurvesurfacesbasecase
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We investigate the relationship among characteristic curves on developable surfaces. In case parameter curves coincide with these curves, we show that the base curve of a developable surface could be either a plane curve, a circular helix, a general helix or a slant helix.

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