有限Chen型管

Pub Date : 2019-02-20 DOI:10.4134/CKMS.C170223

Hassan Al-Zoubi, K. Jaber, Stylianos Stamatakis

{"title":"有限Chen型管","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-02-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4134/CKMS.C170223\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4134/CKMS.C170223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 17

摘要

在本文中，我们考虑了三维欧氏空间E中的有限III型曲面，也就是说，它们是有限型的，在B.-Y.Chen的意义上，对应于第三种基本形式。我们给出了一个重要的曲面族，即E中的管。我们证明了管是无限III型的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Tubes of finite Chen-type

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助