Hyperbolic relative hyperspheres with Li-normalization

DOI10.1007/S00025-011-0110-4zbMath1232.53019OpenAlexW1965566328MaRDI QIDQ545516

Baoying Yang, Min Xiong

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/s00025-011-0110-4

zbMATH Keywords

Monge-Ampère equationEuclidean completenesshyperbolic hyperspheresLi completenessLi-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) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Affine differential geometry (53A15)

Related Items (6)

A rigidity theorem of \(\alpha \)-relative parabolic hyperspheres ⋮ Affine deformations of quasi‐divisible convex cones ⋮ Bernstein theorems for complete \(\alpha\)-relative extremal hypersurfaces ⋮ Bernstein properties for \(\alpha\)-complete 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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