ON GENERALIZED BERTRAND CURVES IN EUCLIDEAN 3-SPACE

Demet Demir, Kazım İlarslan

DOI Number
https://doi.org/10.22190/FUMI221215013D
First page
199
Last page
208

Abstract


In this paper, we generalize the notion of Bertrand curve in Euclidean 3-space analogously as in Minkowski 3-space. According to this generalization, the Bertrand curve conditions of a given space curve are obtained and the relations between Frenet vectors and curvature functions are revealed. A curve that meets the given condition is constructed as an example.


Keywords

Bertrand curve, Euclidean 3-space, Frenet vectors, curvature functions.

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References


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DOI: https://doi.org/10.22190/FUMI221215013D

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