On circumscribed cylinders of convex sets

DOI10.1007/BF01263623zbMath0787.52005OpenAlexW2095312152MaRDI QIDQ1801615

Helmut Groemer

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1007/bf01263623

zbMATH Keywords

areainequalities\(n\)-dimensional convex setscircumscribed cylinders

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• Inversion of two theorems of Archimedes
• A note on a theorem of H. Knothe
• \(L_p\) metrics for compact convex sets
• Mixed width-integrals of convex bodies
• Stability Results for First Order Projection Bodies
• Geometric Inequalities for Plane Convex Bodies
• An Area-Width Inequality for Convex Curves
• Gleitkörper in konvexen Polytopen.
• The mean surface area of the boxes circumscribed about a convex body

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