Inequalities between intrinsic volumes

DOI10.1007/BF01299276zbMath0722.52003MaRDI QIDQ756133

Peter McMullen

Publication date: 1991

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178509

zbMATH Keywords

convex polytopeconvex bodyintrinsic volumepolytope algebraquermassintegralWills functionalAleksandrov-Fenchel inequalities

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Generalizations of the Busemann-Petty problem for sections of convex bodies ⋮ Concentration inequalities for ultra log-concave distributions ⋮ Contextual Search via Intrinsic Volumes ⋮ Vector-valued Maclaurin inequalities ⋮ Magnitude and Holmes–Thompson intrinsic volumes of convex bodies ⋮ Spaces of extremal magnitude ⋮ On a Conjecture of Feige for Discrete Log-Concave Distributions ⋮ Concentration of the Intrinsic Volumes of a Convex Body ⋮ Further inequalities for the (generalized) Wills functional ⋮ The Wills functional and Gaussian processes ⋮ Minkowski's successive minima and the zeros of a convexity-function ⋮ On an exponential functional for Gaussian processes and its geometric foundations ⋮ On successive minima and intrinsic volumes

Cites Work

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• Das Wills'sche Funktional
• The polytope algebra
• Zur Gitterpunktanzahl konvexer Mengen
• Non-linear angle-sum relations for polyhedral cones and polytopes

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