Surfaces generated by translation surfaces of type 1 in i1 3

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

Iranian Journal of Mathematical Sciences and Informatics, vol.16, no.1, pp.123-135, 2021 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.29252/ijmsi.16.1.123
  • Journal Name: Iranian Journal of Mathematical Sciences and Informatics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.123-135
  • Keywords: Simply isotropic space, Surface at a constant distance from the edge of regression on a surface, Translation surfaces
  • Uşak University Affiliated: Yes

Abstract

In this paper, we classify surfaces at a constant distance from the edge of regression on a translation surface of Type 1 in the three dimensional simply isotropic space I13satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental forms of the surface. We also give explicit forms of these surfaces.