Cyclic Surfaces of Constant Gauss Curvature in Galilean Space

Abstract

A surface is foliated by pieces of circles called a cyclic surface. In this paper, we introduce the cyclic surfaces in Galilean 3-space. There are two kind of circles in Galilean space. Therefore we derive all possible parametrizations for the cyclic surfaces. In addition, we investigate cyclic surfaces of constant Gauss curvature in Galilean space.