Optimizing geometric measures for fixed minimal annulus and inradius

DOI10.4171/RMI/520zbMath1149.52009OpenAlexW2070489721MaRDI QIDQ925116

María A. Hernández Cifre, Pedro J. Herrero-Piñeyro

Publication date: 29 May 2008

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1204128307

zbMATH Keywords

areadiameterconvex bodycircumradiusinradiusperimeterminimal widthminimal annulus

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 (2) dimensions (including convex curves) (52A10)

Related Items (1)

On the Minimal Annulus of Triangles and Parallelograms

Cites Work

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• Minimal annulus of a convex body
• On the minimal convex annulus of a planar convex body
• Minimal properties for convex annuli of plane convex curves
• Minimal shells containing a convex surface in Minkowski space
• Minimal Shell of a Typical Convex Body
• Relating the minimal annulus with the circumradius of a convex set
• On the Minimal Convex Shell of a Convex Body
• Some optimization problems for the minimal annulus of a convex set

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