Simple closed geodesics on regular spherical polyhedra
Differential Geometry
2024-08-21 v1 Metric Geometry
Abstract
In this article, we found all simple closed geodesics on regular spherical octahedra and spherical cubes. In addition, we estimate the number of simple closed geodesics on regular spherical tetrahedra.
Keywords
Cite
@article{arxiv.2408.10782,
title = {Simple closed geodesics on regular spherical polyhedra},
author = {Darya Sukhorebska},
journal= {arXiv preprint arXiv:2408.10782},
year = {2024}
}