This article gives an approach for establishing a surface family with a mutual geodesic curve
in Galilean 3-space G 3. Given a smooth space curve, we derive the sufficient and …

In this study, we investigate the problem how to characterize a surface family from a given
common geodesic curve in a 3-dimensional Lie group G. We obtain a parametric …

The trajectory of a moving particle in space forms a curve. By moving a line along a curve, a
surface called ruled surface is obtained. The striction point on a ruled surface is the foot of …