Weighted minimal translation surfaces in the Galilean space with density

Abstract

Translation surfaces in the Galilean 3-space G3 have two types according to the isotropic and non-isotropic plane curves. In this paper, we study a translation surface in G3 with a log-linear density and classify such a surface with vanishing weighted mean curvature.

Keywords

• galilean space
• translation surface
• weighted manifold
• weighted mean curvature
• 53a35
• 53c25