Weighted minimal translation surfaces in the Galilean space with density

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SCOPUS

11

초록

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.

키워드

Galilean space; Translation surface; Weighted manifold; Weighted mean curvature; ISOPERIMETRIC PROBLEM; CURVATURE
제목
Weighted minimal translation surfaces in the Galilean space with density
저자
Yoon, Dae Won
DOI
10.1515/math-2017-0043
발행일
2017-04-23
유형
Article
저널명
Open Mathematics
권
15