A proof of the fundamental theorem of curves in space and its applications

Published 7 Dec 2018 in math.GM | (1812.03865v1)

Abstract: We give a necessary and suficente condition for the existence of a space curve with curvature $\kappa$ and torsion $\tau$ finding a solution of a nonlinear differential equation of second order and some applications are given for the general helices and slant helices.

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Héctor Efrén Guerrero Mora

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