The Wills conjecture

DOI10.1090/S0002-9947-97-01716-9zbMath0888.52007OpenAlexW1481828807WikidataQ123241764 ScholiaQ123241764MaRDI QIDQ4372584

Noah Samuel Brannen

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01716-9

zbMATH Keywords

volumeisoperimetric inequalityconvex bodysurface areainradiusBonnesen's inequalityinner parallel body

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)

Related Items (7)

A bound for the perimeter of inner parallel bodies ⋮ The role of the kernel in Bonnesen-style inradius inequalities ⋮ On inner parallel bodies and quermassintegrals ⋮ On a reverse isoperimetric inequality for relative outer parallel bodies ⋮ Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms ⋮ Bounds for inclusion measures of convex bodies ⋮ Electromagnetic wave propagation and inequalities for moments of chord lengths

Cites Work

• Minkowski's successive minima and the zeros of a convexity-function
• Integral representations of quermass-integrals and Bonnesen-Style inequalities
• A Bonnesen-style inradius inequality in 3-space
• Zum Verhältnis von Volumen zu Oberfläche bei konvexen Körpern
• An improved inequality relating volume, area and radius of inner sphere in \(\mathbb R^n\)
• Beweis einer Vermutung von H. Minkowski
• Bonnesen-Style Inequalities for Minkowski Relative Geometry
• La formule de Steiner pour les érosions
• Bonnesen-Style Isoperimetric Inequalities
• Higher Dimensional Analogues of an Isoperimetric Inequality of BENSON
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