Hypersurfaces with Li-normalization and prescribed Gauss-Kronecker curvature

DOI10.1007/s00025-011-0106-0zbMath1232.53018OpenAlexW2052416502MaRDI QIDQ545518

Yadong Wu, Guo-Song Zhao

Publication date: 22 June 2011

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0106-0

zbMATH Keywords

Monge-Ampère equationGauss-Kronecker curvaturehyperbolic hypersurfaceLi-normalization

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Affine differential geometry (53A15)

Related Items

Regular domains and surfaces of constant Gaussian curvature in \(3\)-dimensional affine space, Boundary estimates of solutions for a class of Monge-Ampère equations, A rigidity theorem of \(\alpha \)-relative parabolic hyperspheres, Affine deformations of quasi‐divisible convex cones, Boundary properties for a Monge-Ampère equation of prescribed affine Gauss curvature, Bernstein theorems for complete \(\alpha\)-relative extremal hypersurfaces, Bernstein properties for \(\alpha\)-complete hypersurfaces, Hyperbolic relative hyperspheres with Li-normalization, Hypersurfaces of constant Gauss-Kronecker curvature with Li-normalization in affine space

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