Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, vol.14, no.2, pp.141-152, 2018 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.