Weighted minimal translation surfaces in the Galilean space with density

• Autorzy: Dae Won Yoon
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

Kategorie tematyczne

• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53A35: Non-Euclidean differential geometry

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 459-466

Daty

wydano

2017-01-01

otrzymano

2016-04-25

zaakceptowano

2017-03-01

online

2017-04-18

Twórcy

autor

Dae Won Yoon

• Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828,

Identyfikatory

DOI

10.1515/math-2017-0043