On inner parallel bodies and quermassintegrals

DOI10.1007/s11856-010-0037-6zbMath1207.52004OpenAlexW2033039624MaRDI QIDQ611018

E. Saorín, María A. Hernández Cifre

Publication date: 13 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0037-6

zbMATH Keywords

quermassintegraltangential bodyextreme vectorform bodyinner parallel body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (7)

A bound for the perimeter of inner parallel bodies ⋮ The role of the kernel in Bonnesen-style inradius inequalities ⋮ Further inequalities and properties of p-inner parallel bodies ⋮ On a reverse isoperimetric inequality for relative outer parallel bodies ⋮ Differentiability of quermassintegrals: A classification of convex bodies ⋮ On the monotonicity of the isoperimetric quotient for parallel bodies ⋮ Decomposition of polytopes using inner parallel bodies

Cites Work

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• Notes on the roots of Steiner polynomials
• A Bonnesen-style inradius inequality in 3-space
• Some inequalities about mixed volumes
• Beweis einer Vermutung von H. Minkowski
• La formule de Steiner pour les érosions
• Bonnesen-Style Isoperimetric Inequalities
• The Wills conjecture
• Convex and Discrete Geometry
• Bemerkung zu einer Verschärfung der isoperimetrischen Ungleichung durch H. Hadwiger

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