On the roots of the Steiner polynomial of a 3-dimensional convex body

DOI10.1515/ADVGEOM.2007.016zbMath1130.52002OpenAlexW1969419950MaRDI QIDQ5295342

María A. Hernández Cifre, E. Saorín

Publication date: 27 July 2007

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2007.016

zbMATH Keywords

volumesurface areacircumradiusinradiusBlaschke's problemintegral mean curvatureroots of the Steiner polynomialTeissier's conjecture

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 (3) dimensions (including convex surfaces) (52A15)

Related Items (7)

On differentiability of quermassintegrals ⋮ THE GREEN–OSHER INEQUALITY IN RELATIVE GEOMETRY ⋮ On the location of roots of Steiner polynomials ⋮ Intrinsic volumes and successive radii ⋮ Differentiability of quermassintegrals: A classification of convex bodies ⋮ Notes on the roots of Steiner polynomials ⋮ On the (Dual) Blaschke diagram

Cites Work

• Minkowski's successive minima and the zeros of a convexity-function
• The Missing Boundary of the Blaschke Diagram

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