A non-Newtonian approach in differential geometry of curves: multiplicative rectifying curves
Differential Geometry
2023-08-01 v1 Classical Analysis and ODEs
Abstract
In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension 3, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, we are directly able to perform multiplicative differential-geometric concepts to investigate such curves. Having presented several characterizations, we completely classify the multiplicative rectifying curves by means of the multiplicative spherical curves.
Keywords
Cite
@article{arxiv.2307.16782,
title = {A non-Newtonian approach in differential geometry of curves: multiplicative rectifying curves},
author = {Muhittin Evren Aydin and Aykut Has and Beyhan Yilmaz},
journal= {arXiv preprint arXiv:2307.16782},
year = {2023}
}
Comments
18 Pages, 4 figures