Translation surfaces of type 2 in the three dimensional simply isotropic space 𝕝1 3

Bukcu B., KARACAN M. K., Yoon D. W.

Bulletin of the Korean Mathematical Society, cilt.54, sa.3, ss.953-965, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.4134/bkms.b160377
  • Dergi Adı: Bulletin of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.953-965
  • Anahtar Kelimeler: Laplace operator, Simply isotropic space, Translation surfaces
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space 𝕝1 3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian opera-tors with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.