{"title":"Tubes of finite Chen-type","authors":"Hassan Al-Zoubi, K. Jaber, Stylianos Stamatakis","doi":"10.4134/CKMS.C170223","DOIUrl":null,"url":null,"abstract":"In this paper, we consider surfaces in the 3-dimensional Euclidean space E which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in E. We show that tubes are of infinite III-type.","PeriodicalId":45637,"journal":{"name":"Communications of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2019-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications of the Korean Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4134/CKMS.C170223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 17
Abstract
In this paper, we consider surfaces in the 3-dimensional Euclidean space E which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in E. We show that tubes are of infinite III-type.
期刊介绍：
This journal endeavors to publish significant research and survey of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of four issues (January, April, July, October).
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
