On product affine hyperspheres in \(\mathbb{R}^{n+1}\)

DOI10.1007/s11425-018-9457-9zbMath1467.53011arXiv1812.07901OpenAlexW2904440139MaRDI QIDQ828635

Marilena Moruz, Xiuxiu Cheng, Luc Vrancken, Ze-Jun Hu

Publication date: 5 May 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07901

zbMATH Keywords

Levi-Civita connectionaffine hypersurfaceconstant sectional curvatureaffine hypersphereparallel Ricci tensoraffine metric

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local submanifolds (53B25) Affine differential geometry (53A15)

Related Items (11)

Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric ⋮ On Lorentzian Einstein affine hyperspheres ⋮ On centroaffine Tchebychev hypersurfaces with constant sectional curvature ⋮ Locally strongly convex affine hypersurfaces with semi-parallel cubic form ⋮ Multiple product affine hypersurfaces with semi-parallel cubic form ⋮ Locally conformally flat affine hyperspheres with parallel Ricci tensor ⋮ On flat elliptic centroaffine Tchebychev hypersurfaces ⋮ Classification of semi-parallel hypersurfaces of the product of two spheres ⋮ Invariant hypersurface flows in centro-affine geometry ⋮ On locally strongly convex affine hyperspheres realizing Chen's equality ⋮ On \(C\)-totally real minimal submanifolds of the Sasakian space forms with parallel Ricci tensor

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