The Blaschke-Lebesgue theorem revisited

DOI10.1016/J.EXMATH.2024.125617MaRDI QIDQ6656072

Ryan Hynd

Publication date: 2 January 2025

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

support functionconstant width curve

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)

Cites Work

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• Analytic proof of Blaschke's theorem on the curve of constant breadth with minimum area.
• Konvexe Bereiche gegebener konstanter Breite und kleinsten Inhalts.
• Reconstruction of a plane convex body from the curvature of its boundary
• An optimal control formulation of the Blaschke-Lebesgue theorem
• Sets of constant width
• Bodies of Constant Width
• A PROOF OF BLASCHK'S THEOREM ON THE REULEAUX TRIANGLE

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