Harmonic Gauss maps and Codazzi tensors for affine hypersurfaces

DOI10.1007/BF01191173zbMath0719.53010OpenAlexW1979517903MaRDI QIDQ2640152

Yi-Bing Shen

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191173

zbMATH Keywords

Gauss mapWeingarten operatorequiaffine mean curvatureequiaffine hypersurface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Affine differential geometry (53A15)

Related Items (2)

On normal and conormal maps for affine hypersurfaces ⋮ Pontrjagin forms, Chern Simons classes, Codazzi transformations, and affine hypersurfaces

Cites Work

• Hypersurfaces in equiaffine differential geometry
• The fundamental theorem in affine hypersurface theory
• Codazzi-Tensoren und Kennzeichnungen sphärischer Immersionen
• Charakterisierungen von Relativsphären und Ellipsoiden
• Beweismethoden der Differentialgeometrie im Großen
• Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
• On the Volume Decreasing Property of a Class of Real Harmonic Mappings
• Harmonic Mappings of Riemannian Manifolds

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