Lorentzian affine hyperspheres with constant affine sectional curvature

DOI10.1090/S0002-9947-99-02379-XzbMath0998.53006OpenAlexW1635377861MaRDI QIDQ4942850

Marcus Kriele, Luc Vrancken

Publication date: 15 March 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02379-x

zbMATH Keywords

Pick invariantaffine hyperspheresLorentzian affine hyperspheres

Mathematics Subject Classification ID

Affine differential geometry (53A15) Other special differential geometries (53A40)

Related Items (13)

On Lorentzian Einstein affine hyperspheres ⋮ Locally conformally flat affine hyperspheres with parallel Ricci tensor ⋮ Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ A new characterization of Calabi composition of hyperbolic affine hyperspheres ⋮ The Magid-Ryan conjecture for \(4\)-dimensional affine spheres ⋮ On the equiaffine symmetric hyperspheres ⋮ Classification of flat Lagrangian surfaces in complex Lorentzian plane ⋮ Lorentzian affine hypersurfaces with parallel cubic form ⋮ The classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic form ⋮ Classification of Lagrangian surfaces of constant curvature in complex projective plane ⋮ Classification of Lagrangian surfaces of curvature \(\varepsilon \) in non-flat Lorentzian complex space form \({\tilde M}_1^2 (4\varepsilon)\) ⋮ Classification of Lagrangian surfaces of constant curvature in complex hyperbolic plane ⋮ Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form

Cites Work

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• Flat affine spheres in \(R^ 3\)
• Uniqueness theorems in affine differential geometry. II
• Local classification of twodimensional affine spheres with constant curvature metric
• Canonical equiaffine hypersurfaces in \(\mathbb{R}^{n+1}\)
• Affine spheres with constant affine sectional curvature
• Affine 3-Spheres with Constant Affine Curvature
• GEODESICS IN AFFINE DIFFERENTIAL GEOMETRY
• Global affine differential geometry of hypersurfaces

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