Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
From MaRDI portal
Publication:2048617
DOI10.1016/j.aim.2021.107902zbMath1479.52015OpenAlexW3191269167MaRDI QIDQ2048617
Publication date: 23 August 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2021.107902
Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Isoperimetric problems for polytopes (52B60)
Related Items
Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ Subspace concentration of mixed volume measures ⋮ The logarithmic capacitary Minkowski problem for polytopes
Cites Work
- Unnamed Item
- Unnamed Item
- Orlicz-John ellipsoids
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- Extremum problems for the cone volume functional of convex polytopes
- Cone-volume measure and stability
- Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
- Projection problems for symmetric polytopes
- Cone-volume measure of general centered convex bodies
- General affine surface areas
- Subspace concentration of dual curvature measures of symmetric convex bodies
- Necessary subspace concentration conditions for the even dual Minkowski problem
- A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
- The Orlicz Brunn-Minkowski inequality for the projection body
- A new approach to the Minkowski first mixed volume and the LYZ conjecture
- The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity
- Affine images of isotropic measures
- Cone-volume measures of polytopes
- A new affine invariant for polytopes and Schneider’s projection problem
- On the Discrete Logarithmic Minkowski Problem
- Centro-Affine Invariants for Smooth Convex Bodies
- Relative entropy of cone measures and L p centroid bodies
- The Centro-Affine Hadwiger Theorem
- The surface measure and cone measure on the sphere of ℓ_{𝑝}ⁿ
- The logarithmic Minkowski problem for non-symmetric measures
- The logarithmic Minkowski problem
- A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities
- Sharp affine isoperimetric inequalities for the Minkowski first mixed volume
- Convex Bodies The Brunn-MinkowskiTheory