Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space


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Dede M., Ekici C., Goemans W.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, vol.14, no.2, pp.141-152, 2018 (SCI-Expanded) identifier identifier

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.