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arXiv · 1812.03865

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

Héctor Efrén Guerrero Mora
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Abstract

We give a necessary and suficente condition for the existence of a space curve with curvature $κ$ and torsion $τ$ 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. 2018-12-07. A proof of the fundamental theorem of curves in space and its applications. https://arxiv.org/abs/1812.03865

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