Work

On Developable Surfaces with a Common Line of Curvature in Minkowski 3-Space $E_{1}^{3}$

Year: 2026

Type: article

Abstract: In this paper we study the problem of constructing a spacelike and timelike developable surface family from a given non-null curve as a common line of curvature in Minkowski 3-space $E_{1}^{3}$. The necessary and sufficient conditions when the resulting developable surface is a cylinder, cone or tangent surface are also analyzed. Some representative curves are chosen to construct the corresponding developable surfaces which possess these curves as lines of curvature. Finally, we have illustrated the convenience and efficiency of this approach by some representative examples.

Source: International Journal of Analysis and Applications

DOI: 10.28924/2291-8639-24-2026-362

Authors: M. Khalifa Saad, I. K. Youssef, H. S. Abdel-Aziz, A. A. Abdel-Salam, Haytham A. Ali, R. Elkhateeb

Institutions: Islamic University of Madinah, Sohag University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $450

Funder: Islamic University of Madinah