A non-Newtonian some partner curves in multiplicative Euclidean space

Aykut Has; Beyhan Yılmaz

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arXiv · 2403.11278

A non-Newtonian some partner curves in multiplicative Euclidean space

Aykut Has·Beyhan Yılmaz

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Abstract

The aim of this article is to characterize pairs of curves within multiplicative (non-Newtonian) spaces. Specifically, we investigate how famous curve pairs such as Bertrand partner curves, Mannheim partner curves, which are prominent in differential geometry, are transformed under the influence of multiplicative analysis. By leveraging the relationships between multiplicative Frenet vectors, we introduce multiplicative versions of Bertrand, Mannheim curve pairs. Subsequently, we characterize these curve pairs using multiplicative arguments. Examples are provided, and multiplicative graphs are presented to enhance understanding of the subject matter. Through this analysis, we aim to elucidate the behavior and properties of these curve pairs within the context of multiplicative geometry.

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Aykut Has, Beyhan Yılmaz. 2024-03-17. A non-Newtonian some partner curves in multiplicative Euclidean space. https://arxiv.org/abs/2403.11278

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