Isotropic affine hypersurfaces of dimension 5

DOI10.1016/j.jmaa.2014.03.071zbMath1312.53013OpenAlexW2026994460MaRDI QIDQ483036

Luc Vrancken, Olivier Birembaux

Publication date: 15 December 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.071

zbMATH Keywords

affine hypersurfaceaffine hypersphereisotropic submanifolddifference tensor

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (13)

Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 ⋮ Pseudo-isotropic Lorentzian centroaffine hypersurfaces 2 ⋮ Pseudo-isotropic Calabi hypersurfaces of dimension 3 ⋮ Conformally flat affine hypersurfaces with semi-parallel cubic form ⋮ Locally strongly convex affine hypersurfaces with semi-parallel cubic form ⋮ Multiple product affine hypersurfaces with semi-parallel cubic form ⋮ Classification of locally strongly convex isotropic centroaffine hypersurfaces ⋮ On conformally flat affine hypersurfaces with pseudo-parallel cubic form ⋮ On locally strongly convex affine hyperspheres realizing Chen's equality ⋮ Lightlike pseudo-isotropic centroaffine Lorentzian hypersurfaces of dimension 3 ⋮ Lightlike pseudo-isotropic Lorentzian Calabi surfaces and ruled surfaces ⋮ Classification of isotropic Calabi hypersurfaces ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor

Cites Work

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• Locally strongly convex affine hypersurfaces with parallel cubic form
• \(\delta\)-invariants and their applications to centroaffine geometry
• The Magid-Ryan conjecture for equiaffine hyperspheres with constant sectional curvature.
• Isotropic affine spheres
• An optimal inequality and extremal classes of affine spheres in centroaffine geometry
• Isotropic and Kähler Immersions

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