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arXiv · 2103.13531

Classification of geodesics on a cone in space

Héctor Efrén Guerrero Mora
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Abstract

This article presents a new way to classify geodesics on a cone in the Euclidean 3-space. This proof is obtained considering our main result, which establishes the necessary and sufficient conditions that a curve in space must satisfy: to be rectifying curve or that its trace is contained in the sphere centered at the origin.

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Héctor Efrén Guerrero Mora. 2021-03-24. Classification of geodesics on a cone in space. https://arxiv.org/abs/2103.13531

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