Minimal translation surfaces in Euclidean space

DOI10.1007/s12220-017-9788-1zbMath1390.53061OpenAlexW2593810294MaRDI QIDQ1747536

Rafael López, Oscar M. Perdomo

Publication date: 8 May 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9788-1

zbMATH Keywords

minimal surfacecurvestranslation 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) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Translating solitons of translation and homothetical types ⋮ Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ A characteristic property of circular cylinders ⋮ Minimal translation graphs in semi-Euclidean space ⋮ Null-translation surfaces with constant curvatures in Lorentz-Minkowski 3-space ⋮ Surfaces of osculating circles in Euclidean space ⋮ Classifications of translation surfaces in isotropic geometry with constant curvature ⋮ Translation surfaces with non-zero constant mean curvature in Euclidean space ⋮ On affine minimal translation surfaces and Ramanujan identities ⋮ Classification and construction of minimal translation surfaces in Euclidean space ⋮ Singularities of translation surfaces in the Euclidean 3-space

Cites Work

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• Translation surfaces with constant mean curvature in 3-dimensional spaces