Fuchsian convex bodies: basics of Brunn-Minkowski theory
From MaRDI portal
Publication:352115
DOI10.1007/s00039-012-0205-4zbMath1271.52009arXiv1112.5353OpenAlexW3105293157MaRDI QIDQ352115
Publication date: 4 July 2013
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.5353
Related Items
Embeddings of non-positively curved compact surfaces in flat Lorentzian manifolds, Prescription of Gauss curvature on compact hyperbolic orbifolds, Liouville type results of curvature operators of Fuchsian convex surfaces, The equivariant Minkowski problem in Minkowski space, \(L_p\) Busemann-Petty centroid inequality in hyperbolic and spherical spaces, SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY, Flippable tilings of constant curvature surfaces, New insights on marginally trapped surfaces: the hedgehog theory point of view, On the theory of coconvex bodies, Convex bodies and multiplicities of ideals, Canonical tessellations of decorated hyperbolic surfaces
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fuchsian polyhedra in Lorentzian space-forms
- A form of Alexandrov-Fenchel inequality
- Globally hyperbolic flat space--times
- Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space
- Flat spacetimes with compact hyperbolic Cauchy surfaces
- Hypersurfaces in \(\mathbb H^{n+1}\) and conformally invariant equations: the generalized Christoffel and Nirenberg problems
- Euclidean decompositions of noncompact hyperbolic manifolds
- The decorated Teichmüller space of punctured surfaces
- Non-arithmetic groups in Lobachevsky spaces
- Lectures on hyperbolic geometry
- New geometric inequalities for hedgehogs
- Nonpositively curved, piecewise Euclidean structures on hyperbolic manifolds
- Perturbation theory for linear operators.
- Convex Fuchs surfaces in Lorentz spaces of constant curvature
- Lorentz spacetimes of constant curvature
- Notes on a paper of Mess
- Polygons of the Lorentzian plane and spherical simplexes
- Lorentzian area measures and the Christoffel problem
- THE CHRISTOFFEL PROBLEM IN LORENTZIAN GEOMETRY
- Foundations of Hyperbolic Manifolds
- Small deformations of polygons and polyhedra
- Partial Differential Relations
- The inverse function theorem of Nash and Moser
- The Convex Hull Construction for Compact Surfaces and the Dirichlet Polygon
- On the regularity of the solution of then-dimensional Minkowski problem
- A Brunn-Minkowski Type Theorem on the Minkowski Spacetime
- Variational Analysis
- The Brunn-Minkowski inequality