Translation hypersurfaces with constant scalar curvature into the Euclidean space

DOI10.1007/s11856-014-1083-2zbMath1320.53010OpenAlexW2121869458MaRDI QIDQ466103

Paulo Alexandre Araújo Sousa, Newton Luís Santos, Barnabé Pessoa Lima

Publication date: 24 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11856-014-1083-2

zbMATH Keywords

Euclidean spacecylinderconstant scalar curvaturetranslation hypersurfaceEnneper hypersurfacezero scalar curvature

Mathematics Subject Classification ID

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

Related Items

A classification of minimal translation surfaces in Minkowski space

Cites Work

• Minimal translation surfaces in hyperbolic space
• New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space
• Translation surfaces with constant mean curvature in 3-dimensional spaces
• On spacelike hypersurfaces of constant sectional curvature Lorentz manifolds
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• O(2) × O(2)-Invariant Hypersurfaces with Constant Negative Scalar Curvature in E 4
• Stable hypersurfaces with constant scalar curvature
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