On The Parallel Ruled Surfaces With B-Darboux Frame

Yıl 2024, Cilt: 6 Sayı: 2, 13 - 25, 31.12.2024

Mustafa Dede , Hatice Tozak , Cumali Ekici

Öz

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.

Anahtar Kelimeler

Parallel ruled surface, Darboux frame, Surface

Kaynakça

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