{"title":"The Injectivity Radius and Shortest Arcs of the Oblate Ellipsoid of Revolution","authors":"V. N. Berestovskii, A. Mustafa","doi":"10.1134/s0037446624010026","DOIUrl":null,"url":null,"abstract":"<p>We found the geodesics, shortest arcs, cut loci, and injectivity radius\nof any oblate ellipsoid of revolution in three-dimensional Euclidean space.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"247 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624010026","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We found the geodesics, shortest arcs, cut loci, and injectivity radius
of any oblate ellipsoid of revolution in three-dimensional Euclidean space.
期刊介绍:
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.