Journal of Mathematical Physics, Analysis, Geometry
2018, vol. 14, No 2, pp. 141-152   https://doi.org/10.15407/mag14.02.141     ( to contents , go back )
https://doi.org/10.15407/mag14.02.141

Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space

M. Dede

Kilis 7 Aralık University, Department of Mathematics, Kilis, 79000, Turkey
E-mail: mustafadede03@gmail.com

C. Ekici

Eskişehir Osmangazi University, Department of Mathematics-Computer, Eskişehir, 26480, Turkey
E-mail: cumali.ekici@gmail.com

W. Goemans

KU Leuven, Faculty of Economics and Business, Brussels, 1000, Belgium
E-mail: wendy.goemans@kuleuven.be

Received January 9, 2017, revised June 20, 2017.

Abstract

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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