{"title":"ON RULED SURFACE GENERATED BY DARBOUX VECTOR OF NATURAL LIFT CURVE IN MINKOWSKI SPACE","authors":"Şeyma Afşar, M. Çalişkan, Emel Karaca","doi":"10.46939/j.sci.arts-23.1-a01","DOIUrl":null,"url":null,"abstract":"In this study, Darboux vector W ̅ of the natural lift curve α ̅ for the given curve α is calculated in terms of the types of curves in Minkowski space. Then striction lines, distribution parameters, Gaussian and mean curvatures of ruled surface pairs generated by the Darboux vector of the natural lift curve have been examined. Furthermore, some examples are given to support the main results.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Science and Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46939/j.sci.arts-23.1-a01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
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Abstract
In this study, Darboux vector W ̅ of the natural lift curve α ̅ for the given curve α is calculated in terms of the types of curves in Minkowski space. Then striction lines, distribution parameters, Gaussian and mean curvatures of ruled surface pairs generated by the Darboux vector of the natural lift curve have been examined. Furthermore, some examples are given to support the main results.
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