Curves of Constant Breadth According to Darboux Frame
B\"ulent Altunkaya, Ferda\u{g} Kahraman Aksoyak
TL;DR
This paper explores the properties of constant breadth curves on surfaces using Darboux frames, providing new characterizations of these geometric curves.
Contribution
It introduces novel characterizations of constant breadth curves on surfaces based on Darboux frame analysis.
Findings
Characterizations of constant breadth curves derived
Conditions for curves to have constant breadth established
Geometric properties of these curves analyzed
Abstract
In this paper, we investigate constant breadth curves on a surface according to Darboux frame and give some characterizations of these curves.
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Taxonomy
TopicsAnalytic and geometric function theory · Geometric Analysis and Curvature Flows · Advanced Harmonic Analysis Research