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.
@article{bwmeta1.element.doi-10_1515_math-2017-0043,
author = {Dae Won Yoon},
title = {Weighted minimal translation surfaces in the Galilean space with density},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {459-466},
zbl = {06715919},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0043}
}
Dae Won Yoon. Weighted minimal translation surfaces in the Galilean space with density. Open Mathematics, Tome 15 (2017) pp. 459-466. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0043/