Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form

DOI10.1007/s00025-017-0651-2zbMath1377.53014arXiv1701.03899OpenAlexW3099787200MaRDI QIDQ2406996

Marilena Moruz, Xiuxiu Cheng, Ze-Jun Hu

Publication date: 4 October 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03899

zbMATH Keywords

Levi-Civita connectiondifference tensorlocally strongly convexcentroaffine hypersurfaceparallel cubic form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) Affine differential geometry (53A15)

Related Items (14)

On centroaffine Tchebychev hypersurfaces with constant sectional curvature ⋮ Isotropic Riemannian submersions ⋮ Classification of locally strongly convex isotropic centroaffine hypersurfaces ⋮ On flat elliptic centroaffine Tchebychev hypersurfaces ⋮ \(\delta^{\sharp}(2,2)\)-ideal centroaffine hypersurfaces of dimension 4 ⋮ Centroaffine \(T\)-umbilical hypersurfaces and pseudo-parallel cubic form ⋮ On conformally flat centroaffine hypersurfaces with semi-parallel cubic form ⋮ An optimal inequality on locally strongly convex centroaffine hypersurfaces ⋮ Classification of Calabi hypersurfaces with parallel Fubini-Pick form ⋮ Unnamed Item ⋮ On locally strongly convex affine hyperspheres realizing Chen's equality ⋮ A rigidity theorem for centroaffine Chebyshev hyperovaloids ⋮ Every centroaffine Tchebychev hyperovaloid is ellipsoid ⋮ A new centroaffine characterization of the ellipsoids

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