On characterizations of sausages via inequalities and roots of Steiner polynomials

DOI10.1515/advgeom-2017-0034zbMath1401.52010OpenAlexW2767153980MaRDI QIDQ1707412

Jesús Yepes Nicolás

Publication date: 29 March 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0034

zbMATH Keywords

projectionsisoperimetric inequalitydiameterinradiussausagesroots of Steiner polynomialsMinkowski's first inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Linearity of the volume. Looking for a characterization of sausages
• The sausage conjecture holds for convex hulls of moderately bent sausages
• Sausages are good packings
• On the location of roots of Steiner polynomials
• The Brunn-Minkowski inequality
• Radii and the Sausage Conjecture
• Convex and Discrete Geometry
• Differentiability of quermassintegrals: A classification of convex bodies
• Convex Bodies The Brunn-MinkowskiTheory
• Über den Brunn-Minkowskischen Satz
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