A non-Newtonian some partner curves in multiplicative Euclidean space
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.
Keywords
Cite
@article{arxiv.2403.11278,
title = {A non-Newtonian some partner curves in multiplicative Euclidean space},
author = {Aykut Has and Beyhan Yılmaz},
journal= {arXiv preprint arXiv:2403.11278},
year = {2024}
}
Comments
14 pages, 7 figures