Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space

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Copy For Citation

Dede M., Ekici C., Goemans W.

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

• Publication Type: Article / Article
• Volume: 14 Issue: 2
• Publication Date: 2018
• Doi Number: 10.15407/mag14.02.141
• Journal Name: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.141-152
• Eskisehir Osmangazi University Affiliated: Yes

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.