On some curves with the modified orthogonal frame in Euclidean 3-space
Mohamd Saleem Lone, Hasan Es, Murat Kemal Karacan, Bahaddin Bukcu
TL;DR
This paper investigates specific types of curves, namely helices and Bertrand curves, within the context of the modified orthogonal frame in Euclidean 3-space, providing classification results.
Contribution
It introduces classification results for helices and Bertrand curves relative to the modified orthogonal frame in Euclidean 3-space, expanding understanding of these curves.
Findings
Classification of helices with respect to the modified orthogonal frame
Classification of Bertrand curves with respect to the modified orthogonal frame
New geometric properties of these curves in Euclidean 3-space
Abstract
In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3-spaces.
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