The shortest way to the geodesics of spheres
General Mathematics
2025-01-07 v2
Abstract
In this paper, we prove, using only elementary geometric arguments and only assuming that the curves are continuous, that the geodesics on a sphere are the minor arcs of the great circles. Our result are valid for any sphere in any inner product space.
Cite
@article{arxiv.0909.3662,
title = {The shortest way to the geodesics of spheres},
author = {Mauro Patrão},
journal= {arXiv preprint arXiv:0909.3662},
year = {2025}
}