Family of ruled surfaces generated by equiform Bishop spherical image in Minkowski 3-space-Reference-Cited by-同舟云学术

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

Published:2023 Issue:2 Volume:8 Page:4372-4389
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Solouma Emad¹²,Abdelkawy Mohamed¹²

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Saudi Arabia

2. Department of Mathematics and Information Science, Faculty of Science, Beni-Suef University, Egypt

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

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3. I. Al-Dayel, E. Solouma, M. Khan1, On geometry of focal surfaces due to B-Darboux and type-2 Bishop frames in Euclidean 3-space, AIMS Mathematics, 7 (2022), 13454–13468. https://doi:10.3934/math.2022744

4. R. Bishop, There is more than one way to frame a curve, The American Mathematical Monthly, 82 (1975), 246–251. https://doi.org/10.2307/2319846

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