Bendehiba Senoussi, Hassan Al-Zoubi
Translation surfaces of finite type in ${\rm Sol}_{3}$

Comment.Math.Univ.Carolin. 61,2 (2020) 237-256.

Abstract:In the homogeneous space Sol$_{3}$, a translation surface is parametrized by $r(s,t)=\gamma _{1}(s)\ast \gamma _{2}(t)$, where $\gamma _{1}$ and $\gamma _{2}$ are curves contained in coordinate planes. In this article, we study translation invariant surfaces in ${\rm Sol}_{3}$, which has finite type immersion.

Keywords: Laplacian operator; homogeneous space; invariant surface; surfaces of coordinate finite type

DOI: DOI 10.14712/1213-7243.2020.018
AMS Subject Classification: 53C30 53B25