Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space 𝔾3-Reference-Cited by-同舟云学术

Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space 𝔾3

Published:2023-05-22 Issue:10 Volume:11 Page:2391
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Almoneef Areej A.¹^ORCID,Abdel-Baky Rashad A.²

Affiliation:

1. Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman, Riyadh 11546, Saudi Arabia

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

Abstract

This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space G3. Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwhile, some examples are provided to show the surfaces family with common Bertrand geodesic curves.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/10/2391/pdf

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