Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals
Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals
This paper establishes two new geometric inequalities in the dual Brunn-Minkowski theory. The first, originally conjectured by Lutwak, is the Brunn-Minkowski inequality for dual quermassintegrals of origin-symmetric convex bodies. The second, generalizing Ball's volume ratio inequality, is a reverse isoperimetric inequality: among all origin-symmetric convex bodies in John's position, the cube maximizes the dual quermassintegrals.
Shay Sadovsky、Gaoyong Zhang
数学
Shay Sadovsky,Gaoyong Zhang.Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals[EB/OL].(2025-05-29)[2025-07-16].https://arxiv.org/abs/2505.23748.点此复制
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