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

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

引用次数: 0

Abstract

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.

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

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。

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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