Flag numbers and floating bodies
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Publication:1789503
DOI10.1016/j.aim.2018.09.006zbMath1401.52015arXiv1805.11287OpenAlexW2964304465WikidataQ129224799 ScholiaQ129224799MaRDI QIDQ1789503
Florian Besau, Elisabeth M. Werner, Carsten Schuett
Publication date: 10 October 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.11287
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Spherical and hyperbolic convexity (52A55) Approximation by convex sets (52A27)
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Cites Work
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- Dual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas
- The spherical convex floating body
- Centrally symmetric polytopes with many faces
- Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality
- Rényi divergence and \(L_p\)-affine surface area for convex bodies
- The isotropic position and the reverse Santaló inequality
- Convex bodies with pinched Mahler volume under the centro-affine normal flows
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theory
- Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
- Extended affine surface area
- The number of faces of centrally-symmetric polytopes
- Triangulations. Structures for algorithms and applications
- On Kalai's conjectures concerning centrally symmetric polytopes
- From the Mahler conjecture to Gauss linking integrals
- General \(L_{p}\) affine isoperimetric inequalities
- Zonoids with minimal volume-product
- Zur Affinoberfläche konvexer Körper. (On affine surfaces of convex bodies)
- On the number of faces of centrally-symmetric simplicial polytopes
- The number of faces of a simplicial convex polytope
- The convex floating body and polyhedral approximation
- Convex bodies with minimal volume product in \(\mathbb{R}^ 2\)
- The dimension of almost spherical sections of convex bodies
- Random polytopes in a convex polytope, independence of shape, and concentration of vertices
- Homothetic floating bodies
- Contributions to affine surface area
- On the \(p\)-affine surface area
- Busemann's intersection inequality in hyperbolic and spherical spaces
- The floating body in real space forms
- New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
- The extended f-vectors of 4-polytopes
- Surface bodies and \(p\)-affine surface area
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- Stability of the Blaschke-Santaló and the affine isoperimetric inequality
- Monotonicity of the cd-index for polytopes
- New \(L_p\) affine isoperimetric inequalities
- Stability of the functional forms of the Blaschke-Santaló inequality
- Divergence for \(s\)-concave and log concave functions
- Valuations and surface area measures
- Minimal volume product near Hanner polytopes
- A centrally symmetric version of the cyclic polytope
- The numbers of faces of simplicial polytopes
- Functional Versions ofLp-Affine Surface Area and Entropy Inequalities
- OnLp-Affine Surface Area and Curvature Measures
- Bounding marginal densities via affine isoperimetry
- Binary operations in spherical convex geometry
- Centro-Affine Invariants for Smooth Convex Bodies
- On the volume product of planar polar convex bodies — Lower estimates with stability
- Random points in halfspheres
- The Centro-Affine Hadwiger Theorem
- Intersections of translates of convex bodies
- Foundations of Hyperbolic Manifolds
- Borsuk's theorem and the number of facets of centrally symmetric polytopes
- Convex bodies, economic cap coverings, random polytopes
- Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes
- The convex floating body.
- Lectures on Polytopes
- Convex Polytopes
- Weighted floating bodies and polytopal approximation
- Convex and Discrete Geometry
- Convex Bodies The Brunn-MinkowskiTheory