Locally strongly convex affine hypersurfaces with semi-parallel cubic form

DOI10.1007/s12220-022-01133-5OpenAlexW4313894663MaRDI QIDQ2679615

Cece Li, Huiyang Xu, Cheng Xing

Publication date: 23 January 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01133-5

zbMATH Keywords

Levi-Civita connectionaffine hypersurfacewarped productaffine principal curvaturesemi-parallel cubic form

Mathematics Subject Classification ID

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

Related Items (6)

Conformally flat affine hypersurfaces with semi-parallel cubic form ⋮ Cyclic semi-parallel real hypersurfaces in complex Grassmannians of rank two ⋮ Multiple product affine hypersurfaces with semi-parallel cubic form ⋮ Locally conformally flat affine hyperspheres with parallel Ricci tensor ⋮ Centroaffine \(T\)-umbilical hypersurfaces and pseudo-parallel cubic form ⋮ On conformally flat affine hypersurfaces with pseudo-parallel cubic form

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