Surfaces of Revolution with Vanishing Curvature in Galilean 3-Space

Creative Commons License

Dede M., Ekici C., Goemans W.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, cilt.14, sa.2, ss.141-152, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.15407/mag14.02.141
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.141-152
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.