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 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2018
  • Doi Number: 10.15407/mag14.02.141
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Page Numbers: pp.141-152

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.