Journal of Mathematical Physics, Analysis, Geometry
2018, vol. 14, No 2, pp. 141-152     ( to contents , go back )

Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space

M. Dede

Kilis 7 Aralık University, Department of Mathematics, Kilis, 79000, Turkey

C. Ekici

Eskişehir Osmangazi University, Department of Mathematics-Computer, Eskişehir, 26480, Turkey

W. Goemans

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.
Key words: surface of revolution, flat surface, minimal surface, Galilean 3-space.

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