Weighted minimal translation surfaces in the Galilean space with density
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.
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De Gruyter
2017-04-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2017-0043 |
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doaj-d854f095dc80428f8919d1889f1f63482021-09-06T19:20:08ZengDe GruyterOpen Mathematics2391-54552017-04-0115145946610.1515/math-2017-0043math-2017-0043Weighted minimal translation surfaces in the Galilean space with densityYoon Dae Won0Department of Mathematics Education and RINS, Gyeongsang National University, Jinju52828, Republic of KoreaTranslation 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.https://doi.org/10.1515/math-2017-0043galilean spacetranslation surfaceweighted manifoldweighted mean curvature53a3553c25 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yoon Dae Won |
| spellingShingle |
Yoon Dae Won Weighted minimal translation surfaces in the Galilean space with density Open Mathematics galilean space translation surface weighted manifold weighted mean curvature 53a35 53c25 |
| author_facet |
Yoon Dae Won |
| author_sort |
Yoon Dae Won |
| title |
Weighted minimal translation surfaces in the Galilean space with density |
| title_short |
Weighted minimal translation surfaces in the Galilean space with density |
| title_full |
Weighted minimal translation surfaces in the Galilean space with density |
| title_fullStr |
Weighted minimal translation surfaces in the Galilean space with density |
| title_full_unstemmed |
Weighted minimal translation surfaces in the Galilean space with density |
| title_sort |
weighted minimal translation surfaces in the galilean space with density |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2017-04-01 |
| description |
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. |
| topic |
galilean space translation surface weighted manifold weighted mean curvature 53a35 53c25 |
| url |
https://doi.org/10.1515/math-2017-0043 |
| work_keys_str_mv |
AT yoondaewon weightedminimaltranslationsurfacesinthegalileanspacewithdensity |
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1717777237069004800 |