{"title":"n维riemann-otsuki空间上的广义螺旋","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":"{\"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}","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}
GENERELIZED HELICES ON N-DIMENSIONAL RIEMANN-OTSUKI SPACES
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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