Characterizations of Frenet curves in Galilean 3-space
Abstract
The aim of this paper is to prove that the distance function of every Frenet curve in G3 satisfies a 4-th order differential equation. Also, we show that if α is a unit speed Frenet curve in G3, then <α(s),T(s)>=s+c if and only if α is a rectifying curve. Finally, we obtain some characterizations of spherical curves and helices via the 4-th order differential equation (4).
Copyright © 2022 M. Elzawy, S. Mosa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Elzawy, S. Mosa, Characterizations of Frenet curves in Galilean 3-space, J. Math. Comput. Sci. 12 (2022), 179. https://doi.org/10.28919/jmcs/7458
BibTeX
@article{Elzawy2022,
author = {Elzawy, M. and Mosa, S.},
title = {Characterizations of Frenet curves in Galilean 3-space},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {179},
doi = {10.28919/jmcs/7458}
}