Hasimoto surfaces in Galilean space \(G_{3}\)

Abstract

In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$\chi =\chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.