Canonical centroaffine hypersurfaces in \({\mathbb{R}{}}^{n+1}\)
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Publication:1190283
DOI10.1007/BF03323203zbMath0752.53010MaRDI QIDQ1190283
Publication date: 27 September 1992
Published in: Results in Mathematics (Search for Journal in Brave)
Related Items (33)
Centroaffine Bernstein problems ⋮ Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\) ⋮ Rigidity theorems for relative Tchebychev hypersurfaces ⋮ The centroaffine Tchebychev operator ⋮ Conformal structure in affine geometry: Complete Tchebychev hypersurfaces ⋮ On the complete solutions to the Tchebychev affine Kähler equation and its geometric significance ⋮ On centroaffine Tchebychev hypersurfaces with constant sectional curvature ⋮ Centroaffine surfaces with parallel or recurrent cubic form relative to the induced connection ⋮ Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form ⋮ Classification of flat indefinite equicentroaffinely homogeneous surfaces in \(\mathbf R^ 4\) ⋮ Linear Weingarten centroaffine translation surfaces in \(\mathbb R^3\) ⋮ Affine hypersurfaces with self congruent center map ⋮ 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 ⋮ The centroaffine volume of generalized geodesic balls under inversion at the sphere ⋮ Three dimensional locally homogeneous nondegenerate centroaffine hypersurfaces with null Tchebychev vector field ⋮ Affine hypersurfaces with parallel difference tensor relative to affine \(\alpha\)-connection ⋮ The generalized Cayley hypersurfaces and their geometrical characterization ⋮ Invariant hypersurface flows in centro-affine geometry ⋮ An optimal inequality on locally strongly convex centroaffine hypersurfaces ⋮ Three-dimensional locally homogeneous nondegenerate centroaffine hypersurfaces with nondiagonalizable Tchebychev operator ⋮ Classification of Calabi hypersurfaces with parallel Fubini-Pick form ⋮ Ruled surfaces with constant terms in the relative theorema egregium ⋮ Lorentzian affine hypersurfaces with parallel cubic form ⋮ Centroaffine ruled surfaces in \(\mathbb R^3\) ⋮ \(\delta\)-invariants and their applications to centroaffine geometry ⋮ Flat hyperbolic Centro-affine Tchebychev hypersurfaces of \(\mathbb{R}^4\) ⋮ Centro-affine hypersurface immersions with parallel cubic form ⋮ Every centroaffine Tchebychev hyperovaloid is ellipsoid ⋮ A new centroaffine characterization of the ellipsoids ⋮ Centroaffine geometry of equiaffine rotation surfaces in \(\mathbb R^3\)
Cites Work
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- Calabi conjecture on hyperbolic affine hyperspheres
- Affine hypersurfaces with parallel cubic forms
- Flat affine spheres in \(R^ 3\)
- Uniqueness theorems in affine differential geometry. II
- Centroaffine differential geometry: Submanifolds of codimension 2
- On the Pick invariant, the affine mean curvature and the Gauss curvature of affine surfaces
- Local classification of twodimensional affine spheres with constant curvature metric
- Cayley surfaces in affine differential geometry
- Affine spheres with constant affine sectional curvature
- Some theorems in affine differential geometry
- Affine 3-Spheres with Constant Affine Curvature
- Hyperbolic affine hyperspheres
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