{"title":"规则球面多面体上的简单闭合大地线","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":"35 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\"35 1\",\"pages\":\"\"},\"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}","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}
Simple closed geodesics on regular spherical polyhedra
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.