Euclidean hypersurfaces with isometric Gauss maps

DOI10.1007/BF01164024zbMath0562.53041MaRDI QIDQ1056925

Detlef Gromoll, Marcos Dajczer

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173665

zbMATH Keywords

isometric immersionsminimal hypersurfacesGauss mapsGauss images

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (6)

On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms ⋮ Isometric deformations of surfaces preserving the third fundamental form ⋮ Compatibility of Gauß maps with metrics ⋮ The holomorphic Gauss parametrization ⋮ On deformable hypersurfaces in space forms ⋮ Conformal hypersurfaces with the same third fundamental form

Cites Work

• The Gauss map of surfaces in \(\mathbb R^ n\)
• Real Kaehler submanifolds and uniqueness of the Gauss map
• Gauss parametrizations and rigidity aspects of submanifolds
• Complete minimal surfaces in \(S^ 3\)

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