Surfaces of Revolution of Type 1 in Galilean 3-Space

ÇAKMAK A., ES H., KARACAN M. K., KIZILTUĞ S.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.60, sa.3, ss.585-597, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5666/kmj.2020.60.3.585
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.585-597
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space G3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.