Timelike $W$ -Surfaces in Minkowski 3-Space

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2022-03-07 DOI:10.1155/2022/7998748

N. Alluhaibi, R. Abdel-Baky

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引用次数: 0

Abstract

Let

M

and

M^{*}

be two timelike surfaces in Minkowski 3-space

ℝ_{1}^{3}

. If there exists a spacelike (timelike) Darboux line congruence between each point of

M

and

M^{*}

, then the surfaces are timelike Weingarten surfaces. It turns out their Tschebyscheff angles are solutions of the Sinh-Gordon equation, and the surfaces are related to each other by Backlund’s transformation. Finally, a method to construct new timelike Weingarten surface has been found.

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Minkowski 3-空间中的类时间W曲面

设M和M *是闵可夫斯基三维空间中的两个类时曲面是。如果M与M *的每一点之间存在一个类空(类时)达布线同余，那么这些面就是类时温加滕面。它们的切比舍夫角是Sinh-Gordon方程的解，并且曲面通过Backlund变换相互关联。最后，给出了一种构造新的类时Weingarten曲面的方法。

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

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.

Timelike W -Surfaces in Minkowski 3-Space

Abstract

Timelike $W$ -Surfaces in Minkowski 3-Space