Locally Symmetric Affine Hypersurfaces

DOI10.2307/2044563zbMath0535.53007OpenAlexW4247898160MaRDI QIDQ3319354

Paul Verheyen, Leopold Verstraelen

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044563

zbMATH Keywords

affine hypersphereequi-affine spaceaffine locally symmetricnondegenerate affine hypersurface

Mathematics Subject Classification ID

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

Related Items (10)

On locally symmetric affine hypersurfaces ⋮ The geometry generated on homogeneous spaces by morphisms of G-spaces ⋮ Locally symmetric complex affine hypersurfaces ⋮ A characterization of affine cylinders ⋮ Affine hypersurfaces with parallel cubic forms ⋮ Locally symmetric connections on surfaces ⋮ Some relations between Riemannian and affine geometry ⋮ On relative hypersurfaces with parallel shape operator ⋮ Affine hypersurfaces with the Ricci semi-symmetry ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor

Cites Work

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• On a conjecture by E. Calabi
• Local theory of affine hypersurfaces

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