\(S^{2}_{1}\)和\(H^{2}_{0}\)上一种新的修正正交Saban框架及其曲线演化

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2025-01-08 DOI:10.1007/s40995-024-01767-w

Alperen Kızılay, Atakan Tuğkan Yakut

{"title":"\\(S^{2}_{1}\\)和\\(H^{2}_{0}\\)上一种新的修正正交Saban框架及其曲线演化","authors":"Alperen Kızılay, Atakan Tuğkan Yakut","doi":"10.1007/s40995-024-01767-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we describe a new modified orthogonal Saban frame for timelike and spacelike curves with geodesic curvature on <span>\\(S^{2}_{1}\\)</span> and the Saban frame for hyperbolic curves with geodesic curvature on <span>\\(H^{2}_{0}\\)</span>. We study the evolution of curves depending on the modified orthogonal Sabban frame and we obtain the necessary conditions for the inextensible flow of curves on modified orthogonal Saban frame.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"49 3","pages":"833 - 846"},"PeriodicalIF":1.4000,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A New Modified Orthogonal Saban Frame on \\\\(S^{2}_{1}\\\\) and \\\\(H^{2}_{0}\\\\) and the Evolution of Curves\",\"authors\":\"Alperen Kızılay, Atakan Tuğkan Yakut\",\"doi\":\"10.1007/s40995-024-01767-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we describe a new modified orthogonal Saban frame for timelike and spacelike curves with geodesic curvature on <span>\\\\(S^{2}_{1}\\\\)</span> and the Saban frame for hyperbolic curves with geodesic curvature on <span>\\\\(H^{2}_{0}\\\\)</span>. We study the evolution of curves depending on the modified orthogonal Sabban frame and we obtain the necessary conditions for the inextensible flow of curves on modified orthogonal Saban frame.</p></div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"49 3\",\"pages\":\"833 - 846\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2025-01-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40995-024-01767-w\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-024-01767-w","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}

引用次数: 0

摘要

本文对\(S^{2}_{1}\)上具有测地线曲率的类时、类空曲线和\(H^{2}_{0}\)上具有测地线曲率的双曲曲线描述了一种新的改进的正交Saban框架。研究了曲线在修正正交Saban框架上的演化，得到了曲线在修正正交Saban框架上不可扩展流动的必要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A New Modified Orthogonal Saban Frame on \(S^{2}_{1}\) and \(H^{2}_{0}\) and the Evolution of Curves

In this paper, we describe a new modified orthogonal Saban frame for timelike and spacelike curves with geodesic curvature on \(S^{2}_{1}\) and the Saban frame for hyperbolic curves with geodesic curvature on \(H^{2}_{0}\). We study the evolution of curves depending on the modified orthogonal Sabban frame and we obtain the necessary conditions for the inextensible flow of curves on modified orthogonal Saban frame.

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

来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences