Minimal translation hypersurfaces in Euclidean space

DOI10.1007/S00009-015-0645-9zbMath1354.53013OpenAlexW2275391434MaRDI QIDQ727552

Gabriel Ruiz-Hernández, Marian Ioan Munteanu, Oscar Palmas

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0645-9

zbMATH Keywords

minimal hypersurfaceseikonal functionstranslation hypersurfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (11)

Minimal translation hypersurfaces in \(\mathbb{E}^4\) ⋮ Generalized translation hypersurfaces in conformally flat spaces ⋮ Generalized translation hypersurfaces in Euclidean space ⋮ Constant curvature translation surfaces in Galilean 3-space ⋮ Minimal translation surfaces in the three-dimensional Heisenberg group ⋮ Singular Minimal Translation Graphs in Euclidean Spaces ⋮ Minimal translation graphs in semi-Euclidean space ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature ⋮ Translation hypersurfaces whose curvature depends partially on its variables ⋮ Constant curvature factorable surfaces in 3-dimensional isotropic space ⋮ Classification and construction of minimal translation surfaces in Euclidean space

Cites Work

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• Minimal translation hypersurfaces in \(\mathbb{E}^4\)
• Translation hypersurfaces with constant curvature in space forms
• Classification of constant angle hypersurfaces in warped products via eikonal functions
• Minimal translation surfaces in Sol\(_{3}\)
• Minimal translation surfaces in hyperbolic space
• Minimal translation surfaces in the Heisenberg group \(\mathrm{Nil}_{3}\)
• 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
• SOME TRANSLATION SURFACES IN THE 3-DIMENSIONAL HEISENBERG GROUP

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