Affine quasi umbilical hypersurfaces which are flat with respect to the affine metric

DOI10.1007/BF03323209zbMath0752.53011OpenAlexW2081982346MaRDI QIDQ1190289

Luc Vrancken

Publication date: 27 September 1992

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323209

zbMATH Keywords

flat equiaffine metricquasi umbilical affine hypersurfaces

Mathematics Subject Classification ID

Local submanifolds (53B25) Affine differential geometry (53A15)

Related Items (5)

On locally symmetric affine hypersurfaces ⋮ Pseudosymmetry curvature conditions imposed on the shape operators of hypersurfaces in the affine space ⋮ When Do Some Geodesics of the Induced and the Metrical Connection Coincide? ⋮ New equiaffine characterizations of the ellipsoids related to an equiaffine integral inequality on hyperovaloids ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor

Cites Work

• Conjugate connections and Radon's theorem in affine differential geometry
• Flat affine spheres in \(R^ 3\)
• On the geometry of affine immersions
• Uniqueness theorems in affine differential geometry. II
• Cubic form theorem for affine immersions
• Local classification of twodimensional affine spheres with constant curvature metric
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Affine spheres with constant affine sectional curvature
• Some theorems in affine differential geometry

This page was built for publication: Affine quasi umbilical hypersurfaces which are flat with respect to the affine metric