Translation surfaces in the 3-dimensional Galilean space satisfying ΔII xi = λixi

Çakmak A., KARACAN M. K., KIZILTUĞ S., Yoon D. W.

Bulletin of the Korean Mathematical Society, cilt.54, sa.4, ss.1241-1254, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.4134/bkms.b160442
  • Dergi Adı: Bulletin of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1241-1254
  • Anahtar Kelimeler: Galilean space, Laplace operator, Translation surfaces
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we classify translation surfaces in the three dimensional Galilean space G3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces.