Characterisation of cylindrical curves

E.L. Starostin & G.H.M. van der Heijden

We employ moving frames along pairs of curves at constant separation to derive various conditions for a curve to belong to the surface of a circular cylinder.

keywords: cylindrical curves, curvature, torsion, moving frame, Darboux vector, closed curves

Monatshefte für Mathematik 176, 481-491 (2015)