On translation surfaces in 4-dimensional Euclidean space

DOI10.12697/ACUTM.2016.20.11zbMath1355.53006MaRDI QIDQ2953898

Günay Öztürk, Kadri Arslan, Betül Bulca, Bengü (Kılıç) Bayram

Publication date: 6 January 2017

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

mean curvatureGaussian curvaturetranslation surfacesecond fundamental map

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items

Rotational hypersurfaces in Lorentz-Minkowski 4-space ⋮ LCN-translation surfaces in affine 3-space ⋮ Unnamed Item ⋮ Translation surfaces in affine 3-space ⋮ Unnamed Item ⋮ Implicit equations of the Henneberg-type minimal surface in the four-dimensional Euclidean space ⋮ Semi-parallel and harmonic surfaces in semi-Euclidean 4-space with index 2

Cites Work

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• Translation surfaces with constant mean curvature in 3-dimensional spaces
• On the Gauss map of translation surfaces in Minkowski 3-space
• Classification of polynomial translation hypersurfaces of finite type
• On the Geometry of the Second Fundamental Form of Translation Surfaces in E3
• Pseudo-umbilical surfaces with constant Gauss curvature