{"title":"Generalized Bertrand and Mannheim Curves in 3D Lie Groups","authors":"O. Okuyucu, Bahar Doğan Yazıcı","doi":"10.33401/fujma.1127839","DOIUrl":null,"url":null,"abstract":"In this paper, we give a new approach for Bertrand and Mannheim curves in 3D Lie groups \nwith bi-invariant metric. By the this way, some conditions including the known results have \nbeen given for a curve to be Bertrand or Mannheim curve in 3D Euclidean space and in 3D \nLie groups.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1127839","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we give a new approach for Bertrand and Mannheim curves in 3D Lie groups
with bi-invariant metric. By the this way, some conditions including the known results have
been given for a curve to be Bertrand or Mannheim curve in 3D Euclidean space and in 3D
Lie groups.
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