Zonoid theory and Hilbert's fourth problem

DOI10.1007/BF00147451zbMath0659.51022MaRDI QIDQ1112336

Ralph Alexander

Publication date: 1988

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

zbMATH Keywords

Hilbert's fourth problemzonoidsprojective metricsmeasure on hyperplaneshypermetric

Mathematics Subject Classification ID

Distance geometry (51K99) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

On polars of mixed projection bodies ⋮ Application of cut polyhedra. I ⋮ Integral geometry in Minkowski spaces ⋮ Operations between sets in geometry ⋮ On the 100th anniversary of the birth of Aleksei Vasil’evich Pogorelov ⋮ On projectively flat Finsler spaces ⋮ Inequalities for Mixed Projection Bodies ⋮ \(L_p\)-dual quermassintegral sums ⋮ Inequalities for polars of mixed projection bodies

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