Affine umbilical surfaces in \(\mathbb{R}^ 4\)

DOI10.1007/BF02567823zbMath0852.53014MaRDI QIDQ1911546

Christine Scharlach, Luc Vrancken, Martin A. Magid

Publication date: 18 June 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156128

zbMATH Keywords

affine surfacesWeingarten operatortransversal planescodimension twoaffine umbilical

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (4)

A characterization of the complex paraboloid ⋮ Cheng-Yau operator and Gauss map of rotational hypersurfaces in 4-space ⋮ A characterization of affine spheres in \(\mathbb R^4\) ⋮ The Gauss map and the third Laplace-Beltrami operator of the rotational hypersurface in 4-space

Cites Work

• Zur affinen Differentialgeometrie. I. Über \(p\)-dimensionale Minimalflächen und Sphären im \(n\)-dimensionalen Raum. II. Über zweidimensionale Flächen im vierdimensionalen Raum
• The Affine Mean Curvature Vector for Surfaces in R4
• A NEW EQUIAFFINE THEORY FOR SURFACES IN ℝ⁴

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