Four-dimensional locally strongly convex homogeneous affine hypersurfaces

DOI10.1007/s00022-016-0330-6zbMath1369.53012OpenAlexW2336001676WikidataQ125338205 ScholiaQ125338205MaRDI QIDQ2397243

Abdelouahab Chikh Salah, Luc Vrancken

Publication date: 22 May 2017

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/591002

zbMATH Keywords

affine differential geometryBlaschke hypersurfaceaffine homogeneous

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (1)

On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor

Cites Work

• On quasi-umbilical locally strongly convex homogeneous affine hypersurfaces
• A new model of unimodular-affinely homogeneous surfaces
• The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces
• Homogeneous affine hypersurfaces with rank one shape operators
• Calabi-type composition of affine spheres
• Affine isoparametric hypersurfaces
• Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces
• Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature
• On hypersurfaces satisfying a certain condition on the curvature tensor
• Hyperbolic affine hyperspheres
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