The volume of the intersection of a convex body with its translates

DOI10.1112/S0025579300007051zbMath0789.52012arXivmath/9204212OpenAlexW2026121555MaRDI QIDQ4287329

Mathieu Meyer, Shlomo Reisner, Michael Schmuckenschlaeger

Publication date: 12 April 1994

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9204212

zbMATH Keywords

ellipsoidsymmetric convex bodyMinkowski-functional

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 (10)

Homothetic floating bodies ⋮ Contributions to affine surface area ⋮ Convolution bodies and their limiting behavior ⋮ Brunn-Minkowski and Zhang inequalities for convolution bodies ⋮ \(\Gamma\)-limit for a sharp interface model related to pattern formation on biomembranes ⋮ Rigidity for measurable sets ⋮ On the volume of the intersection of two geodesic balls ⋮ On the convex hull and homothetic convex hull functions of a convex body ⋮ On convex bodies that are characterizable by volume function. ``Old and recent problems for a new generation: a survey ⋮ Expectation of intrinsic volumes of random polytopes

Cites Work

• A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces
• Zur Affinoberfläche konvexer Körper. (On affine surfaces of convex bodies)
• Majorization of Gaussian processes and geometric applications
• The distribution function of the convolution square of a convex symmetric body in \({\mathbb{R}{}}^ n\)
• Characterizations of ellipsoids by section-centroid location
• A theorem on non-homogeneous lattices
• Einige Bemerkungen über das Minkowskische Flächenmaß

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