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, vol.54, no.3, pp.953-965, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.4134/bkms.b160377
  • Journal Name: Bulletin of the Korean Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.953-965
  • Keywords: Laplace operator, Simply isotropic space, Translation surfaces
  • Uşak University Affiliated: Yes

Abstract

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.