ON THE HELICES IN THE GALILEAN SPACE G3

Document Type: Regular Paper

Authors

Department of Mathematics, Firat University, 23119, Elazig, Turkey

Abstract

T. Ikawa obtained an ordinary differential equation for the circular helix. Recently, the helix have
been investigated by many differential geometers such as T. Ikawa, H. Balgetir, M. Bektas, M. Ergut, N.
Ekmekci and H. H. Hacısalihoglu. In this paper, making use of this author’s methods, we obtained
characterizations of helix for a curve with respect to the Frenet frame in 3-dimensional Galilean space G3.

Keywords