Homogeneous affine hypersurfaces with rank one shape operators

DOI10.1007/BF02571641zbMath0804.53014OpenAlexW1979258810MaRDI QIDQ1319296

Frankie Dillen, Luc Vrancken

Publication date: 22 January 1995

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

Full work available at URL: https://eudml.org/doc/174472

zbMATH Keywords

locally homogeneouslocally strongly convexequiaffine transformation

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (9)

Calabi-type composition of affine spheres ⋮ Affine hypersurfaces admitting a pointwise symmetry ⋮ Four-dimensional locally strongly convex homogeneous affine hypersurfaces ⋮ The classification of 3-dimensional quasi-umbilical locally homogeneous Blaschke hypersurfaces ⋮ Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ On quasi-umbilical locally strongly convex homogeneous affine hypersurfaces ⋮ Characterization of the generalized Calabi composition of affine hyperspheres ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor ⋮ Blaschke Dupin hypersurfaces and equiaffine tubes

Cites Work

• On the geometry of affine immersions
• Cubic form theorem for affine immersions
• A new model of unimodular-affinely homogeneous surfaces
• Calabi-type composition of affine spheres
• Equivalence theorems in affine differential geometry
• Isometric immersions of warped products
• Hyperbolic affine hyperspheres

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