Work

Ruled Surfaces of Adjoint Curve with the Modified Orthogonal Frame

Year: 2024

Type: article

Abstract: This paper analyzes several specific ruled surfaces generated by the base curve $\alpha$ and its director curve or the $\alpha$'s adjoint curve $\beta$ and its director curve, where the director curves are frame vectors of the modified orthogonal frame in $E^{3}$. Furthermore, this paper studies the flat or minimal properties of the surfaces, as well as their asymptotic and geodesic curves. Afterward, it exemplifies the theoretical results herein. Finally, this paper discusses the need for further research.

Source: Journal of New Theory

DOI: 10.53570/jnt.1583283

Authors: Burçin Saltık Baek, Esra Damar, Nurdan Oğraş, Nural Yüksel

Institutions: Erciyes University, Hitit Üniversitesi

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405964252

FWCI: 0.573

Cites: 15

Cited by: 3

Related to: 10