Weighted minimal translation surfaces in the Galilean space with density

Dae Won Yoon

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 459-466
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Dae Won Yoon. "Weighted minimal translation surfaces in the Galilean space with density." Open Mathematics 15.1 (2017): 459-466. <http://eudml.org/doc/288120>.

@article{DaeWonYoon2017,
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.},
author = {Dae Won Yoon},
journal = {Open Mathematics},
keywords = {Galilean space; Translation surface; Weighted manifold; Weighted mean curvature; translation surface; weighted manifold; weighted mean curvature},
language = {eng},
number = {1},
pages = {459-466},
title = {Weighted minimal translation surfaces in the Galilean space with density},
url = {http://eudml.org/doc/288120},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Dae Won Yoon
TI - Weighted minimal translation surfaces in the Galilean space with density
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 459
EP - 466
AB - 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.
LA - eng
KW - Galilean space; Translation surface; Weighted manifold; Weighted mean curvature; translation surface; weighted manifold; weighted mean curvature
UR - http://eudml.org/doc/288120
ER -

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