Organic combinations of quermassintegrals and dual quermassintegrals

DOI10.1216/RMJ-2019-49-7-2419zbMath1432.52014OpenAlexW2992545340MaRDI QIDQ2288250

Chang-Jian Zhao, Wing-Sum Cheung

Publication date: 17 January 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1575774144

zbMATH Keywords

convex bodystar bodydual quermassintegralquermassintegralvolume difference

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)

Cites Work

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• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Brunn-Minkowski inequality for mixed intersection bodies
• Capacitary inequalities of the Brunn-Minkowski type
• Dual Brunn-Minkowski inequality for volume differences
• The Brunn-Minkowski inequality in Gauss space
• A Minkowski problem for electrostatic capacity
• The affine Sobolev inequality.
• Inequalities for dual quermassintegrals of mixed intersection bodies
• The Brunn-Minkowski inequality for volume differences
• On the case of equality in the Brunn-Minkowski inequality for capacity
• Brunn-Minkowski inequality for multiplicities
• Dual mixed volumes
• A Brunn-Minkowski inequality for the integer lattice
• Inequalities for Mixed Projection Bodies
• The Brunn-Minkowski inequality
• $p$-Means of Convex Bodies.

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