{"title":"三维接触洛伦兹流形中的弗莱内曲线","authors":"Müslüm Aykut Akgün","doi":"10.22190/fumi210208007a","DOIUrl":null,"url":null,"abstract":"In this paper, we give some characterizations of Frenet curves in 3-dimensional contact Lorentzian Manifolds. We define Frenet equations and the Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on 3-dimensional contact Lorentzian Manifolds. Finally we give some corollaries and examples for these curves.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"37 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FRENET CURVES IN 3-DIMENSIONAL CONTACT LORENTZIAN MANIFOLDS\",\"authors\":\"Müslüm Aykut Akgün\",\"doi\":\"10.22190/fumi210208007a\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we give some characterizations of Frenet curves in 3-dimensional contact Lorentzian Manifolds. We define Frenet equations and the Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on 3-dimensional contact Lorentzian Manifolds. Finally we give some corollaries and examples for these curves.\",\"PeriodicalId\":54148,\"journal\":{\"name\":\"Facta Universitatis-Series Mathematics and Informatics\",\"volume\":\"37 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Facta Universitatis-Series Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22190/fumi210208007a\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi210208007a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
FRENET CURVES IN 3-DIMENSIONAL CONTACT LORENTZIAN MANIFOLDS
In this paper, we give some characterizations of Frenet curves in 3-dimensional contact Lorentzian Manifolds. We define Frenet equations and the Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on 3-dimensional contact Lorentzian Manifolds. Finally we give some corollaries and examples for these curves.