Generalized Bertrand Curve Pairs in Euclidean Four-Dimensional Space

In this study, the existence of Bertrand curves (in the classical sense, i.e., curves with a common principal normal vector field) in four-dimensional Euclidean space is demonstrated using a novel approach. The necessary conditions for a regular curve to be a Bertrand curve pair are obtained. Furthe...

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Bibliographic Details
Main Authors: Yanlin Li, Osman Keçilioğlu, Kazım İlarslan
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/14/4/253
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