On the volume of inner parallel bodies

DOI10.1515/ADVGEOM.2010.004zbMath1194.52003OpenAlexW2006172644MaRDI QIDQ3559659

María A. Hernández Cifre, E. Saorín

Publication date: 6 May 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2010.004

zbMATH Keywords

relative inradiusinner parallel bodytangential bodiesalternating Steiner polynomialrelative quermassintegrals

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 (5)

A bound for the perimeter of inner parallel bodies ⋮ The role of the kernel in Bonnesen-style inradius inequalities ⋮ Differentiability of quermassintegrals: A classification of convex bodies ⋮ Linearity of the volume. Looking for a characterization of sausages ⋮ On the monotonicity of the isoperimetric quotient for parallel bodies

Cites Work

• Beweis einer Vermutung von H. Minkowski
• La formule de Steiner pour les érosions
• Bemerkung zu einer Verschärfung der isoperimetrischen Ungleichung durch H. Hadwiger

This page was built for publication: On the volume of inner parallel bodies