Weighted minimal translation surfaces in the Galilean space with density

作者：Yoon Dae Won^*

来源：Open Mathematics, 2017, 15(1): 459-466.

DOI：10.1515/math-2017-0043

• Galilean space
• Translation surface
• Weighted manifold
• Weighted mean curvature

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

• 出版日期2017-4-23