The equivariant Minkowski problem in Minkowski space
From MaRDI portal
Publication:1687890
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fuchsian convex bodies: basics of Brunn-Minkowski theory
- Prescription of Gauss curvature on compact hyperbolic orbifolds
- Globally hyperbolic flat space--times
- Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space
- Recovering the geometry of a flat spacetime from background radiation
- Flat spacetimes with compact hyperbolic Cauchy surfaces
- The Dirichlet problem for the multidimensional Monge-Ampère equation
- Infinitesimal deformations of some SO(3,1) lattices
- Asymptotic behavior of Cauchy hypersurfaces in constant curvature space-times
- Spacelike hypersurfaces with constant Gauss-Kronecker curvature in the Minkowski space
- Lorentz spacetimes of constant curvature
- On the theory of coconvex bodies
- Global aspects of the Cauchy problem in general relativity
- Lorentzian area measures and the Christoffel problem
- Foundations of Hyperbolic Manifolds
- On the regularity of the monge-ampère equation det (∂2 u/∂xi ∂xj) = f(x, u)
- Variational Analysis
- Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space
- Manifolds of Negative Curvature
- The Monge-Ampère equation
This page was built for publication: The equivariant Minkowski problem in Minkowski space