Minimal translation hypersurfaces in \(\mathbb{E}^4\)

DOI10.1016/J.JMAA.2016.02.077zbMath1337.53011OpenAlexW2289359782MaRDI QIDQ268572

Marilena Moruz, Marian Ioan Munteanu

Publication date: 15 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.02.077

zbMATH Keywords

minimal surfaceScherk surfacetranslation surface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (14)

Generalized translation hypersurfaces in conformally flat spaces ⋮ Generalized translation hypersurfaces in Euclidean space ⋮ Constant curvature translation surfaces in Galilean 3-space ⋮ Classification of graph surfaces induced by weighted-homogeneous functions exhibiting vanishing Gaussian curvature ⋮ Rotational hypersurfaces in Lorentz-Minkowski 4-space ⋮ Minimal translation surfaces in the three-dimensional Heisenberg group ⋮ Singular Minimal Translation Graphs in Euclidean Spaces ⋮ Minimal translation graphs in semi-Euclidean space ⋮ Cheng-Yau operator and Gauss map of rotational hypersurfaces in 4-space ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature ⋮ Translation hypersurfaces whose curvature depends partially on its variables ⋮ Minimal translation hypersurfaces in Euclidean space ⋮ Classification and construction of minimal translation surfaces in Euclidean space ⋮ Minimal translation surfaces with respect to semi-symmetric connections in $\mathbb{R}^3$ and $\mathbb{R}^3_1$

Uses Software

• CandS

Cites Work

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• Translation hypersurfaces with constant curvature in space forms
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• Minimal translation surfaces in hyperbolic space
• Minimal translation surfaces in the Heisenberg group \(\mathrm{Nil}_{3}\)
• New results on the geometry of translation surfaces
• Minimal translation hypersurfaces in Euclidean space
• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Minimal harmonic graphs and their Lorentzian cousins
• Translation surfaces with constant mean curvature in 3-dimensional spaces
• On the Geometry of the Second Fundamental Form of Translation Surfaces in E3

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