Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau
{"title":"The geometry of Randers cylinders of revolution with non-constant navigation data along meridians","authors":"Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau","doi":"10.4064/ap221017-13-8","DOIUrl":null,"url":null,"abstract":"We study the structure of cut loci of a Finsler metric of Randers type defined on a cylindrical surface of revolution. Our Randers metrics are obtained by perturbing the Riemannian metric with a closed one-form, which is equivalent to the solution of Zerm","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"34 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Polonici Mathematici","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/ap221017-13-8","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 study the structure of cut loci of a Finsler metric of Randers type defined on a cylindrical surface of revolution. Our Randers metrics are obtained by perturbing the Riemannian metric with a closed one-form, which is equivalent to the solution of Zerm
期刊介绍:
Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba.
The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.