Proof of the Brunn-Minkowski theorem by Brunn cuts

DOI10.1134/S0001434622010096zbMath1484.52006WikidataQ113786468 ScholiaQ113786468MaRDI QIDQ2113399

Fedor M. Malyshev

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

volumepolyhedronconvex bodysimplexBrunn-Minkowski inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38)

Cites Work

• A Brunn-Minkowski type inequality for Fano manifolds and some uniqueness theorems in Kähler geometry
• Generalization of the Brunn-Minkowski inequality in the form of Hadwiger for power moments
• The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities
• The Brunn-Minkowski inequality
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