A simplified elementary proof of Hadwiger's volume theorem

DOI10.1023/B:GEOM.0000024665.02286.46zbMath1067.52003OpenAlexW1982945283WikidataQ56386082 ScholiaQ56386082MaRDI QIDQ1827418

Beifang Chen

Publication date: 6 August 2004

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:geom.0000024665.02286.46

zbMATH Keywords

characterizationconvex bodyvaluationintrinsic volumevolume theorem

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (6)

Valuations on Convex Bodies: The Classical Basic Facts ⋮ Thermodynamics of interfaces extended to nanoscales by introducing integral and differential surface tensions ⋮ Groups of convex bodies ⋮ On the Gaussian representation of intrinsic volumes ⋮ Critical probability of percolation over bounded region in N-dimensional Euclidean space ⋮ Multivariate normal approximation for functionals of random polytopes

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