Minimal hypersurfaces of S4 with non zero Gauss-Kronecker curvature

DOI10.1007/BF02584865zbMath0569.53025OpenAlexW1990603977MaRDI QIDQ3685621

Sebastião Carneiro de Almeida

Publication date: 1983

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02584865

zbMATH Keywords

Clifford torusGauss mapGauss-Kronecker curvatureminimal hypersurfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Minimal hypersurfaces of \(S^ 4\) with constant Gauss-Kronecker curvature ⋮ Submanifolds with flat normal bundle

Cites Work

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• On the structure of manifolds with positive scalar curvature
• Spin and scalar curvature in the presence of a fundamental group. I
• The classification of simply connected manifolds of positive scalar curvature
• Complete minimal surfaces in \(S^ 3\)

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