Translation surfaces in the three-dimensional simply isotropic space I3 1

---

Copy For Citation

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

International Journal of Geometric Methods in Modern Physics, vol.13, no.7, 2016 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 13 Issue: 7
• Publication Date: 2016
• Doi Number: 10.1142/s0219887816500882
• Journal Name: International Journal of Geometric Methods in Modern Physics
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Keywords: Laplace operator, Simply isotropic space, translation surfaces
• Uşak University Affiliated: Yes

Abstract

In this paper, we classify translation surfaces in the three-dimensional simply isotropic space 31 under the condition ix i = ixi where is the Laplace operator with respect to the first and second fundamental forms and is a real number. We also give explicit forms of these surfaces.