Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space
Kilis 7 Aralık University, Department of Mathematics, Kilis, 79000, Turkey
Eskişehir Osmangazi University, Department of Mathematics-Computer, Eskişehir,
KU Leuven, Faculty of Economics and Business, Brussels, 1000, Belgium
Received January 9, 2017, revised June 20, 2017.
In the paper, three types of surfaces of revolution in the Galilean 3- space are defined and studied. The construction of the well-known surface of revolution, defined as the trace of a planar curve rotated about an axis in the supporting plane of the curve, is given for the Galilean 3-space. Then we classify the surfaces of revolution with vanishing Gaussian curvature or vanishing mean curvature in the Galilean 3-space.
Mathematics Subject Classification 2010: 53A10, 53A35, 53A40.