New sine ellipsoids and related volume inequalities
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Publication:2319878
DOI10.1016/j.aim.2019.07.007zbMath1434.52010OpenAlexW2959678187MaRDI QIDQ2319878
Dongmeng Xi, Qingzhong Huang, Ai-Jun Li
Publication date: 20 August 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2019.07.007
Related Items (6)
On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ New mixed star bodies and related volume inequalities ⋮ On the L p -sine moment-entropy inequality ⋮ The Grassmannian \(L_p\)-sine Blaschke-Santaló inequality ⋮ The functional form of the dual mixed volume ⋮ New equiaffine characterizations of the ellipsoids related to an equiaffine integral inequality on hyperovaloids
Cites Work
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- Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds
- Orlicz-John ellipsoids
- Rényi divergence and \(L_p\)-affine surface area for convex bodies
- The Steiner formula for Minkowski valuations
- The log-Brunn-Minkowski inequality
- The dual Minkowski problem for negative indices
- \(\mathrm{SL}(n)\) invariant valuations on polytopes
- Minkowski areas and valuations
- The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
- Minkowski valuations intertwining the special linear group
- Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems
- Centroid surfaces
- Valuations and Busemann-Petty type problems
- A volume inequality for polar bodies
- Crofton measures and Minkowski valuations
- General \(L_{p}\) affine isoperimetric inequalities
- Intersection bodies and dual mixed volumes
- On a reverse form of the Brascamp-Lieb inequality
- A positive solution to the Busemann-Petty problem in \(\mathbb{R}^4\)
- An analytic solution to the Busemann-Petty problem on sections of convex bodies
- Blaschke-Santaló inequalities
- Ellipsoids and matrix-valued valuations
- A new ellipsoid associated with convex bodies
- \(L_ p\) affine isoperimetric inequalities.
- Existence of solutions to the even dual Minkowski problem
- On the \(L_p\) dual Minkowski problem
- Subspace concentration of dual curvature measures of symmetric convex bodies
- Minkowski valuations and generalized valuations
- The \(L_p\)-Aleksandrov problem for \(L_p\)-integral curvature
- \(L_{p}\) dual curvature measures
- Minkowski valuations on lattice polytopes
- A positive answer to the Busemann-Petty problem in three dimensions
- The Cramer-Rao inequality for star bodies
- Projection bodies and valuations
- The Brunn-Minkowski-Firey theory. II: Affine and geominimal surface areas
- Volume inequalities for asymmetric Wulff shapes
- The logarithmic Minkowski problem for polytopes
- Dual mixed volumes
- Tensor valuations on lattice polytopes
- Intersection bodies and generalized cosine transforms
- New \(L_p\) affine isoperimetric inequalities
- The dual Brunn-Minkowski theory for bounded Borel sets: dual affine quermassintegrals and inequalities
- Volume inequalities for subspaces of \(L_p\)
- The centro-affine Minkowski problem for polytopes
- OnLp-Affine Surface Area and Curvature Measures
- $\mathrm{GL}(n)$ contravariant Minkowski valuations
- The Centro-Affine Hadwiger Theorem
- The Sine Transform of Isotropic Measures
- Intersection bodies and valuations
- A characterization of Lp intersection bodies
- Even Minkowski valuations
- Volume Ratios and a Reverse Isoperimetric Inequality
- Random hyperplanes meeting a convex body
- Intersection bodies, positive definite distributions, and the Busemann-Petty problem
- Isotropic surface area measures
- $L_p$ John Ellipsoids
- Sections of Convex Bodies
- The logarithmic Minkowski problem
- Convex Bodies The Brunn-MinkowskiTheory
- Minkowski valuations
- $p$-Means of Convex Bodies.
- A Class of Convex Bodies
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