Positive Centers and the Bonnesen Inequality

DOI10.2307/2047754zbMath0725.52003OpenAlexW4235017345MaRDI QIDQ5201845

Michael E. Gage

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047754

zbMATH Keywords

arealengthplanecentroidsSteiner pointBonnesen inequalityclosed convex curveone-dimensional Firey inequality

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) Curves in Euclidean and related spaces (53A04)

Related Items (9)

The elastica problem under area constraint ⋮ The \(\epsilon\)-positive center figure ⋮ Notes on the log-Brunn-Minkowski inequality ⋮ POSITIVE CENTRE SETS OF CONVEX CURVES AND A BONNESEN TYPE INEQUALITY ⋮ The \(\varepsilon\)-positive center set and its applications ⋮ On Yau's problem of evolving one curve to another: convex case ⋮ Positive center sets of convex curves ⋮ An extension of Rabinowitz's polynomial representation for convex curves ⋮ Evolving plane curves by curvature in relative geometries

Cites Work

• An isoperimetric inequality with applications to curve shortening
• Shapes of worn stones

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