The mixed affine quermassintegrals

2020/09/02 by Zhao, Chang-Jian
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2009.01922

Abstract

In this paper, we introduce first the mixed affine quermassintegrals. The Aleksandrov-Fenchel inequality for the mixed affine quermassintegrals is established. As an application, the Minkowski, Brunn-Minkowski inequalities for the mixed affine quermassintegrals are also derived.

Related

• Orlicz Mixed Affine Quermassintegrals
• The L_p Minkowski problems on affine dual quermassintegrals
• Inequalities for dual quermassintegrals of mixed intersection bodies
• Sharp Isoperimetric Inequalities for Affine Quermassintegrals
• Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3