Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E 3

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-08-27 DOI:10.1155/2021/3151501

Soukaina Ouarab

{"title":"Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in \n \n \n E\n \n \n 3","authors":"Soukaina Ouarab","doi":"10.1155/2021/3151501","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\n <msup>\n <mrow>\n <mi>E</mi>\n </mrow>\n <mrow>\n <mn>3</mn>\n </mrow>\n </msup>\n </math>\n . It concerns \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\n <mi>T</mi>\n <mi>g</mi>\n </math>\n Partner ruled surfaces, \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\n <mi>T</mi>\n <mi>n</mi>\n </math>\n Partner ruled surfaces, and \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\n <mi>g</mi>\n <mi>n</mi>\n </math>\n Partner ruled surfaces. We aim to study the simultaneous developability conditions of each couple of two Partner ruled surfaces. Finally, we give an illustrative example for our study.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abstract and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2021/3151501","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: 1

Abstract

In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in

E^{3}

. It concerns

T g

Partner ruled surfaces,

T n

Partner ruled surfaces, and

g n

Partner ruled surfaces. We aim to study the simultaneous developability conditions of each couple of two Partner ruled surfaces. Finally, we give an illustrative example for our study.

查看原文本刊更多论文

E3中基于Darboux框架的伙伴规则曲面的同时可展性

在本文中，根据E3中任意规则曲面上曲线的Darboux框架，我们引入了Partner规则曲面的原始定义。它涉及T g Partner规则曲面、T n Partner规则曲面，和g n Partner规则曲面。我们的目的是研究每对两个Partner规则曲面的同时可展性条件。最后，我们为我们的研究提供了一个例证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.