Minimal and reduced pairs of convex bodies

DOI10.1007/BF00147810zbMath0864.52002OpenAlexW2056681637MaRDI QIDQ1922798

Christina Bauer

Publication date: 24 June 1997

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

Full work available at URL: https://doi.org/10.1007/bf00147810

zbMATH Keywords

minimal pairsconvex bodiessurface area measureHörmander-Rädström latticereduced pairs

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

Reduced pairs of compact convex sets and ordered median functions ⋮ Minimal Pairs of Convex Sets Which Share a Recession Cone ⋮ Decomposition of the polyhedron from Albrecht Dürer's ‘Melencolia I’ to a minimal pair of compact convex sets ⋮ Maximal pairs of convex sets and Zalgaller's minimal representation of dc-functions ⋮ Unnamed Item

Cites Work

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• On the graph structure of convex polyhedra in \(n\)-space
• Minimal pairs of convex compact sets
• Minimal pairs of convex bodies in two dimensions
• On asymmetry classes of convex bodies
• Some criteria for the minimality of pairs of compact convex sets
• Decomposable convex polyhedra

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