{"title":"GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES","authors":"Jeta Alo","doi":"10.20854/BUJSE.561471","DOIUrl":null,"url":null,"abstract":"In this paper the well-known properties of helices in Euclidian 3-space are extended to n-dimensional Riemann-Otsuki space. We define the infinitesimal deformations of curves in Riemann-Otsuki space and obtain the condition such that the given deformation of a curve defines a generalized Helix in this space.","PeriodicalId":302972,"journal":{"name":"Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20854/BUJSE.561471","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper the well-known properties of helices in Euclidian 3-space are extended to n-dimensional Riemann-Otsuki space. We define the infinitesimal deformations of curves in Riemann-Otsuki space and obtain the condition such that the given deformation of a curve defines a generalized Helix in this space.
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