{"title":"Simple closed geodesics on regular spherical polyhedra","authors":"Darya Sukhorebska","doi":"arxiv-2408.10782","DOIUrl":null,"url":null,"abstract":"In this article, we found all simple closed geodesics on regular spherical\noctahedra and spherical cubes. In addition, we estimate the number of simple\nclosed geodesics on regular spherical tetrahedra.","PeriodicalId":501444,"journal":{"name":"arXiv - MATH - Metric Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Metric Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.10782","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.