The classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic form

DOI10.1016/j.difgeo.2011.03.005zbMath1219.53015OpenAlexW1965547395WikidataQ115356948 ScholiaQ115356948MaRDI QIDQ546124

Cece Li, Ze-Jun Hu

Publication date: 24 June 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.03.005

zbMATH Keywords

Levi-Civita connectionparallel cubic formLorentzian affine hypersurface

Mathematics Subject Classification ID

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

Related Items (9)

Rigidity theorems for relative Tchebychev hypersurfaces ⋮ On \(\widetilde{J}\)-tangent affine hyperspheres ⋮ Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ 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 ⋮ The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form ⋮ Centro-affine hypersurface immersions with parallel cubic form

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