The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form

DOI10.1016/j.geomphys.2011.06.005zbMath1229.53009OpenAlexW2037118292MaRDI QIDQ720661

Luc Vrancken, Haizhong Li, Cece Li, Ze-Jun Hu

Publication date: 11 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2011.06.005

zbMATH Keywords

Levi-Civita connectionaffine hypersurfaceparallel cubic form

Mathematics Subject Classification ID

Local submanifolds (53B25) Affine differential geometry (53A15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (15)

Rigidity theorems for relative Tchebychev hypersurfaces ⋮ On Lorentzian Einstein affine hyperspheres ⋮ 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 ⋮ Affine hypersurfaces of arbitrary signature with an almost symplectic form ⋮ On conformally flat affine hypersurfaces with pseudo-parallel cubic form ⋮ Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ A new characterization of Calabi composition of hyperbolic affine hyperspheres ⋮ Affine hypersurfaces with parallel difference tensor relative to affine \(\alpha\)-connection ⋮ The generalized Cayley hypersurfaces and their geometrical characterization ⋮ On the equiaffine symmetric hyperspheres ⋮ Graph immersions with parallel cubic form ⋮ Shiing-Shen Chern's centenary ⋮ Centro-affine hypersurface immersions with parallel cubic form

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