Year: 2024
Type: article
Abstract: In this work, the geometric properties of parallel ruled surfaces associated with the B-Darboux frame (BDF) in $E%%TCIMACRO{\U{b3}}%%BeginExpansion{{}^3}%%EndExpansion$ are introduced. Firstly, these surfaces are presented, and their main characteristic properties, such as developability, stress points and dispersion parameter, are analyzed. The paper presents a comprehensive analysis of how these surfaces are constructed and describes the conditions under which they preserve certain geometrical properties with the B-Darboux frame in Euclidean 3-space. These results contribute to a much better understanding of the theory of parallel ruled surfaces (PRS) with regard to the B-Darboux frame and provide insights into potential applications in various fields of geometry and mathematical modeling.
Source: DergiPark (Istanbul University)
Authors: Dede, Mustafa, Tozak, Hatice, Ekici, Cumali
Institutions: Kilis 7 Aralık University, Eskişehir Osmangazi University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4405914727