Classification of geodesics on a cone in space
Differential Geometry
2021-03-26 v1
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.
Keywords
Cite
@article{arxiv.2103.13531,
title = {Classification of geodesics on a cone in space},
author = {Héctor Efrén Guerrero Mora},
journal= {arXiv preprint arXiv:2103.13531},
year = {2021}
}
Comments
6 pages