A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities
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Publication:5068161
DOI10.1093/imrn/rnz090zbMath1495.52014OpenAlexW2946516028MaRDI QIDQ5068161
Publication date: 5 April 2022
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imrn/rnz090
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Cites Work
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- Extremum problems for the cone volume functional of convex polytopes
- Restricted chord projection and affine inequalities
- Projection problems for symmetric polytopes
- Cone-volume measure of general centered convex bodies
- Zonoids with minimal volume-product
- Kontinuierliche Linearkombination von Strecken
- Ellipsoids and matrix-valued valuations
- A new ellipsoid associated with convex bodies
- Projection bodies and valuations
- On mixed \(L_{p}\) John ellipsoids
- Affine images of isotropic measures
- Cone-volume measures of polytopes
- Volume inequalities for subspaces of \(L_p\)
- A new affine invariant for polytopes and Schneider’s projection problem
- Inequalities for Mixed Projection Bodies
- Mixed Projection Inequalities
- Random polytopes and the volume-product of symmetric convex bodies.
- Zonoids with Minimal Volume-Product--A New Proof
- Random hyperplanes meeting a convex body
- Shadows of Convex Bodies
- Affine inequalities and radial mean bodies
- $L_p$ John Ellipsoids
- Characterizations and Inequalities for Zonoids
- The logarithmic Minkowski problem
- Convex and Discrete Geometry
- Convex Bodies The Brunn-MinkowskiTheory
- Volume inequalities for isotropic measures
