Surface Family with Bertrand Curves as Joint Asymptotic Curves in 3D Galilean Space-Reference-Cited by-同舟云学术

Surface Family with Bertrand Curves as Joint Asymptotic Curves in 3D Galilean Space

Published:2023-09-28 Issue:19 Volume:11 Page:4100
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Al-Jedani Awatif¹^ORCID,Abdel-Baky Rashad A.²

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 23890, Saudi Arabia

2. Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, Egypt

Abstract

The primary objective of this work is to discuss a surface family with the similarity of Bertrand curves in 3D Galilean space. Subsequently, by applying the Serret–Frenet frame, we estimate the sufficient and necessary statuses of a surface family with Bertrand curves as joint asymptotic curves. The dilation to ruled surfaces is also summarized. Meanwhile, the epitomes are illustrated to provide an explanation of the theoretical results.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/19/4100/pdf

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