关于Minkowski 3-空间E1中的类时间扫掠曲面和奇异性

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2022-01-17 DOI:10.1155/2022/9121239

N. Alluhaibi, R. Abdel-Baky, Monia Naghi

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引用次数: 0

摘要

Bishop框架或旋转最小化框架（RMF）是一种定义运动框架的替代方法，即使曲线已经消失二阶导数，它也被很好地定义，并且它已经被广泛应用于计算机图形学、工程和生物学领域。本文的主要目的是利用RMF对类时间扫掠表面的奇异型和强烈涉及E13中具有类时间双法线向量的单位速度类空间曲线的Bishop球面Darboux图像进行分类。

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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On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E 1

The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering, and biology. The main aim of this paper is using the RMF for classification of singularity type of timelike sweeping surface and Bishop spherical Darboux image which is mightily concerning a unit speed spacelike curve with timelike binormal vector in E 1 3 .

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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.