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Hypersurfaces with prescribed affine Gauss-Kronecker curvature

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Publication:1580268
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DOI10.1023/A:1005232207442zbMath0972.53013MaRDI QIDQ1580268

Udo Simon, An-Min Li, Guo-Song Zhao

Publication date: 22 November 2000

Published in: Geometriae Dedicata (Search for Journal in Brave)


zbMATH Keywords

affine Gauss-Kronecker curvatureaffine shape operatoraffine normal


Mathematics Subject Classification ID

Affine differential geometry (53A15)


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Centroaffine Bernstein problems ⋮ Regular domains and surfaces of constant Gaussian curvature in \(3\)-dimensional affine space ⋮ Unnamed Item ⋮ Boundary estimates of solutions for a class of Monge-Ampère equations ⋮ Boundary properties for a Monge-Ampère equation of prescribed affine Gauss curvature ⋮ An optimal inequality on locally strongly convex centroaffine hypersurfaces ⋮ Hypersurfaces with Li-normalization and prescribed Gauss-Kronecker curvature ⋮ Hypersurfaces of constant Gauss-Kronecker curvature with Li-normalization in affine space



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