Work

Geometry of tubular surfaces and their focal surfaces in Euclidean 3-space

Year: 2024

Type: article

Abstract: In this study, we examined the focal surfaces of tubular surfaces in Euclidean 3-space $ E^{3} $. We achieved some significant results for these surfaces in accordance with the modified orthogonal frame. Additionally, we proposed a few geometric invariants that illustrated the geometric characteristics of these surfaces, such as flat, minimal, Weingarten, and linear-Weingarten surfaces, using the traditional methods of differential geometry. Additionally, the asymptotic and geodesic curves of these surfaces have been researched. At last, we presented an example as an instance of use to validate our theoretical findings.

Source: AIMS Mathematics

DOI: 10.3934/math.2024610

Authors: M. Khalifa Saad, Nural Yüksel, Nurdan Oğraş, Fatemah Alghamdi, A. A. Abdel-Salam

Institutions: Islamic University of Madinah, Erciyes University, Imam Abdulrahman Bin Faisal University, Northern Border University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Islamic University of Madinah