Monotone translation invariant valuations on convex bodies

DOI10.1007/BF01191696zbMath0715.52001MaRDI QIDQ752481

Peter McMullen

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

mixed volumeconvex bodymonotone translation invariant valuationsummand

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Mixed curvature measures for sets of positive reach and a translative integral formula ⋮ Monotonicity and concavity of integral functionals involving area measures of convex bodies

Cites Work

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• Continuous translation invariant valuations on the space of compact convex sets
• Centrally symmetric convex bodies and distributions
• A functional characterization of certain mixed volumes
• Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes

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