Classification and construction of minimal translation surfaces in Euclidean space
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Publication:2302195
DOI10.1007/s00025-019-1128-2zbMath1433.53013arXiv1809.02759OpenAlexW3099809596MaRDI QIDQ2302195
Publication date: 25 February 2020
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.02759
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (11)
Translating solitons of translation and homothetical types ⋮ Singular Minimal Translation Graphs in Euclidean Spaces ⋮ A characteristic property of circular cylinders ⋮ Minimal translation graphs in semi-Euclidean space ⋮ Surfaces of osculating circles in Euclidean space ⋮ Graph Surfaces Invariant by Parabolic screw Motions with Constant Curvature in $ \: \mathbb H^2 \times \mathbb R$ ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature ⋮ On Euler-Ramanujan formula, Dirichlet series and minimal surfaces ⋮ Translation hypersurfaces whose curvature depends partially on its variables ⋮ Translation surfaces with non-zero constant mean curvature in Euclidean space ⋮ Singularities of translation surfaces in the Euclidean 3-space
Cites Work
- Minimal translation hypersurfaces in \(\mathbb{E}^4\)
- Minimal translation surfaces in hyperbolic space
- Surfaces with constant mean curvature in sol geometry
- Minimal translation hypersurfaces in Euclidean space
- Translation surfaces with constant mean curvature in 3-dimensional spaces
- Minimal translation surfaces in Euclidean space
- Translation surfaces in Euclidean space with constant Gaussian curvature
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