Characterizations of Frenet curves in Galilean 3-space

M. Elzawy, S. Mosa

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).

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Published: 2022-06-27

How to Cite this Article:

M. Elzawy, S. Mosa, Characterizations of Frenet curves in Galilean 3-space, J. Math. Comput. Sci., 12 (2022), Article ID 179

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.

 

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