The Santaló-regions of a convex body

DOI10.1090/S0002-9947-98-02162-XzbMath0917.52004arXivmath/9707209OpenAlexW1612343071MaRDI QIDQ4211160

Elisabeth M. Werner, Mathieu Meyer

Publication date: 10 September 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9707209

zbMATH Keywords

convex floating bodyaffine surface areaSantaló regionBlaschke Santaló inequality

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (25)

Surface bodies and \(p\)-affine surface area ⋮ New higher-order equiaffine invariants ⋮ On convex intersection bodies and unique determination problems for convex bodies ⋮ Dual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas ⋮ On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ Affine invariant points ⋮ On the L _p -sine moment-entropy inequality ⋮ Ulam floating functions ⋮ \(L_p\)-Steiner quermassintegrals ⋮ Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality ⋮ New \(L_p\) affine isoperimetric inequalities ⋮ The Grassmannian \(L_p\)-sine Blaschke-Santaló inequality ⋮ Rényi divergence and \(L_p\)-affine surface area for convex bodies ⋮ The \((\varphi, \psi)\) Orlicz mixed Petty bodies ⋮ Stability of the Blaschke-Santaló and the affine isoperimetric inequality ⋮ On the volume of sections of a convex body by cones ⋮ A characterization of affine surface area ⋮ Divergence for \(s\)-concave and log concave functions ⋮ Relative entropies for convex bodies ⋮ Asymmetric Blaschke-Santaló functional inequalities ⋮ Mixedf-divergence and inequalities for log-concave functions ⋮ Inequalities for mixed \(p\)-affine surface area ⋮ LOCAL MINIMALITY OF THE VOLUME‐PRODUCT AT THE SIMPLEX ⋮ THE CONVEX INTERSECTION BODY OF A CONVEX BODY ⋮ On the \(p\)-affine surface area

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• Slicing Convex Bodies-Bounds for Slice Area in Terms of the Body's Covariance
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