On non-Newtonian Helices in Multiplicative Euclidean Space
General Mathematics
2024-03-19 v1
Abstract
In this article, spherical indicatrices of a curve and helices are re-examined using both the algebraic structure and the geometric structure of non-Newtonian (multiplicative) Euclidean space. Indicatrices of a multiplicative curve on the multiplicative sphere in multiplicative space are obtained. In addition, multiplicative general helix, multiplicative slant helix and multiplicative clad and multiplicative g-clad helix characterizations are provided. Finally, examples and drawings are given.
Keywords
Cite
@article{arxiv.2403.11282,
title = {On non-Newtonian Helices in Multiplicative Euclidean Space},
author = {Aykut Has and Beyhan Yılmaz},
journal= {arXiv preprint arXiv:2403.11282},
year = {2024}
}