Simple closed geodesics on regular spherical polyhedra

Fuente: arXiv
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Autore principale: Sukhorebska, Darya
Natura: Preprint
Pubblicazione: 2024
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author Sukhorebska, Darya
author_facet Sukhorebska, Darya
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2408_10782
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simple closed geodesics on regular spherical polyhedra
Sukhorebska, Darya
Differential Geometry
Metric Geometry
52B05, 53C22, 52B10
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.
title Simple closed geodesics on regular spherical polyhedra
topic Differential Geometry
Metric Geometry
52B05, 53C22, 52B10
url https://arxiv.org/abs/2408.10782