The equivariant Minkowski problem in Minkowski space

DOI10.5802/aif.3105zbMath1421.52002arXiv1405.4376OpenAlexW2962805251MaRDI QIDQ1687890

Francesco Bonsante, François Fillastre

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4376

zbMATH Keywords

Monge-Ampère equationLorentzian geometryMinkowski problemcovolume

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

Spacelike convex surfaces with prescribed curvature in \((2+1)\)-Minkowski space ⋮ Regular domains and surfaces of constant Gaussian curvature in \(3\)-dimensional affine space ⋮ Asymptotic behavior of Cauchy hypersurfaces in constant curvature space-times ⋮ Affine deformations of quasi‐divisible convex cones ⋮ Constant scalar curvature hypersurfaces in \((3 + 1)\)-dimensional GHMC Minkowski spacetimes ⋮ Local regularity result for an optimal transportation problem with rough measures in the plane ⋮ Quasi-Fuchsian Co-Minkowski Manifolds ⋮ Entire surfaces of constant curvature in Minkowski 3-space ⋮ Hypersurfaces of constant Gauss-Kronecker curvature with Li-normalization in affine space

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