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An investigation of new associated curves of a Frenet curve in Euclidean n-space

Year: 2025
Type: article
Abstract: In this study, we introduce the V2-direction curve, Vn−1-direction curve and Vn-direction curve of a Frenet curve in n-dimensional Euclidean space. We provide characterizations and investigate the relationships between the Frenet apparatus of the principal curve and the corresponding apparatus of the direction curves. We also present an application for all direction curves with the results shown using computer code implemented in MATLAB.
Language: English
Open Access status: diamond
OpenAlex ID: W7114910207
FWCI: 0.968
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Cited by: 2
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