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Weighted minimal translation surfaces in the Galilean space with density
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10초록
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
- 발행일
- 2017-04-23
- 유형
- Article
- 저널명
- Open Mathematics
- 권
- 15