Bonnesen's inequality for the isoperimetric deficiency of closed curves in the plane

DOI10.1007/BF00181191zbMath0723.53001OpenAlexW1980901189MaRDI QIDQ756708

Bent Fuglede

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf00181191

zbMATH Keywords

Bonnesen's inequalitybi-enclosing annulusisoperimetric deficiencynonconvex simply closed curves

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (11)

On the boundary of almost isoperimetric domains ⋮ Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks ⋮ Lower estimate of the isoperimetric deficit of convex domains in \(\mathbb{R}^ n\) in terms of asymmetry ⋮ Derivative relationships between volume and surface area of compact regions in \({\mathbb R}^d\) ⋮ On an isoperimetric problem with a competing non-local term: quantitative results ⋮ Problems on polygons and Bonnesen-type inequalities ⋮ A nonlocal isoperimetric problem with dipolar repulsion ⋮ Minimal properties for convex annuli of plane convex curves ⋮ Isoperimetric stability ⋮ Isoperimetric inequalities in potential theory ⋮ On the Minimal Annulus of Triangles and Parallelograms

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