On differentiability of quermassintegrals

DOI10.1515/FORUM.2010.006zbMath1194.52004OpenAlexW2023304324MaRDI QIDQ5306375

E. Saorín, María A. Hernández Cifre

Publication date: 9 April 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.006

zbMATH Keywords

convex bodytangential bodyinner parallel bodydifferentiability of 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 (4)

Differentiability of quermassintegrals: A classification of convex bodies ⋮ Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems ⋮ On the monotonicity of the isoperimetric quotient for parallel bodies ⋮ Inequalities for quermassintegrals of (new) p-parallel bodies

Cites Work

• Notes on the roots of Ehrhart polynomials
• Beweis einer Vermutung von H. Minkowski
• Bonnesen-Style Inequalities for Minkowski Relative Geometry
• La formule de Steiner pour les érosions
• On the roots of the Steiner polynomial of a 3-dimensional convex body
• Bemerkung zu einer Verschärfung der isoperimetrischen Ungleichung durch H. Hadwiger

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