Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group-Reference-Cited by-同舟云学术

Surface Family Pair with Bertrand Pair as Mutual Curvature Lines in Three-Dimensional Lie Group

Published:2023-08-28 Issue:9 Volume:12 Page:830
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

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

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

This paper is on deducing the necessary and sufficient conditions of a surface family pair with a Bertrand pair as mutual curvature lines in three-dimensional Lie group G. As a result, the consequence for the ruled surface family pair is also extrapolated. Meanwhile, examples are specified to show the surface family with common Bertrand geodesic curves.

Funder

Deputyship for Research and Innovation, Ministry of Education in Saudi Arabia

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/9/830/pdf

Reference20 articles.

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