A rigidity theorem for centroaffine Chebyshev hyperovaloids

DOI10.4064/cm7382-6-2018zbMath1432.53011OpenAlexW2921716086MaRDI QIDQ5226492

Xiuxiu Cheng, Zeke Yao, Ze-Jun Hu

Publication date: 31 July 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7382-6-2018

zbMATH Keywords

parallel difference tensordifference tensorcentroaffine hypersurfaceChebyshev hypersurfacehyperovaloid

Mathematics Subject Classification ID

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

Related Items (6)

Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 ⋮ On centroaffine Tchebychev hypersurfaces with constant sectional curvature ⋮ On flat elliptic centroaffine Tchebychev hypersurfaces ⋮ Every centroaffine Tchebychev hyperovaloid is ellipsoid ⋮ New equiaffine characterizations of the ellipsoids related to an equiaffine integral inequality on hyperovaloids ⋮ A new centroaffine characterization of the ellipsoids

Cites Work

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• Conformal structure in affine geometry: Complete Tchebychev hypersurfaces
• An optimal inequality on locally strongly convex centroaffine hypersurfaces
• Centroaffine Bernstein problems
• The centroaffine Tchebychev operator
• Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form
• RELATIVE TCHEBYCHEV SURFACES IN R3

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