The centroaffine Tchebychev operator
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Publication:1895219
DOI10.1007/BF03322271zbMath0836.53006OpenAlexW2065395906MaRDI QIDQ1895219
Publication date: 9 May 1996
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03322271
Related Items (26)
Centroaffine Bernstein problems ⋮ Conformal structure in affine geometry: Complete Tchebychev hypersurfaces ⋮ On centroaffine Tchebychev hypersurfaces with constant sectional curvature ⋮ Indefinite centroaffine surfaces with vanishing generalized Pick function ⋮ Unnamed Item ⋮ 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 \(\mathbb R^3\) ⋮ Centroaffine surfaces of cohomogeneity one with planar curvature lines ⋮ Centroaffine surfaces of cohomogeneity one ⋮ 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 ⋮ Projective minimality for centroaffine minimal surfaces ⋮ Three dimensional locally homogeneous nondegenerate centroaffine hypersurfaces with null Tchebychev vector field ⋮ An optimal inequality on locally strongly convex centroaffine hypersurfaces ⋮ Three-dimensional locally homogeneous nondegenerate centroaffine hypersurfaces with nondiagonalizable Tchebychev operator ⋮ Ruled surfaces with constant terms in the relative theorema egregium ⋮ Centroaffine ruled surfaces in \(\mathbb R^3\) ⋮ Centroaffine minimal surfaces whose centroaffine curvature and Pick function are constants ⋮ A rigidity theorem for centroaffine Chebyshev hyperovaloids ⋮ Every centroaffine Tchebychev hyperovaloid is ellipsoid ⋮ A new centroaffine characterization of the ellipsoids ⋮ Tchebychev surfaces of \(\mathbb{S}^3(1)\) with constant curvature functions ⋮ Centroaffine geometry of equiaffine rotation surfaces in \(\mathbb R^3\)
Cites Work
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- Centroaffine differential geometry: Submanifolds of codimension 2
- Convex affine maximal surfaces
- Canonical centroaffine hypersurfaces in \({\mathbb{R}{}}^{n+1}\)
- On the classification of projectively homogeneous surfaces
- Compact centroaffine spheres of codimension 2
- A new model of unimodular-affinely homogeneous surfaces
- Local classification of twodimensional affine spheres with constant curvature metric
- Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
- Centroaffinely homogeneous surfaces in \(\mathbb{R}^ 3\)
- Zur affinen Differentialgeometrie im Großen. I
- Hypersurfaces with Maximal Affinely Invariant Area
- Differential equations on riemannian manifolds and their geometric applications
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