Work

Simultaneous characterizations of alternative partner-ruled surfaces

Year: 2025

Type: article

Abstract: In this study, we present partner-ruled surfaces generated by the vectors of the alternative frame of a space curve in Euclidean 3-space. First, each pair of the alternative partner-ruled surfaces to be simultaneously developable and minimal is investigated based on the alternative frame by partial differential equations. Then, simultaneous characterizations of the coordinate curves of these surfaces to be asymptotic, geodesic, and lines of curvature are obtained and explicated. Finally, to illustrate the concepts, the study concludes with an example of alternative partner-ruled surfaces, featuring graphical representations.

Source: AIMS Mathematics

DOI: 10.3934/math.2025407

Authors: Kemal Eren, Soley Ersoy, Mohammad Nazrul Islam Khan

Institutions: Sakarya University, Qassim 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: $1,200

Funder: Qassim University