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Research Article | Open Access

Family of ruled surfaces generated by equiform Bishop spherical image in Minkowski 3-space

Emad Solouma1,2( ), Mohamed Abdelkawy1,2
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Saudi Arabia
Department of Mathematics and Information Science, Faculty of Science, Beni-Suef University, Egypt
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Abstract

The study of a family of equiform Bishop spherical image ruled surfaces created by some specific curves such as spherical image in Minkowski 3-space using equiform Bishop frame of that curve is presented in this paper. We also offer the necessary criteria for these surfaces to be equiform Bishop developable and equiform Bishop minimum in relation to equiform Bishop curvatures, as well as when the curve is enclosed in a plane. Finally, we provide an example, such as these surfaces.

Keywords

equiform Bishop frameMinkowski 3-spacespherical imageruled surfaces
CLC number: 53B30, 53C40, 53C50

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 4372-4389
DOI: 10.3934/math.2023218

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Cite this article:
Solouma E, Abdelkawy M. Family of ruled surfaces generated by equiform Bishop spherical image in Minkowski 3-space. AIMS Mathematics, 2023, 8(2): 4372-4389. https://doi.org/10.3934/math.2023218

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Received: 23 September 2022
Revised: 25 November 2022
Accepted: 28 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)