On a generalised Blaschke-Santalò inequality

2018/08/07 by Haodi Chen, Chen, Haodi
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematics and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1808.02218

openalex publication_date 2018/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish a generalised Blaschke-Santalò inequality for convex bodies in \mathbb Rⁿ⁺¹. This inequality gives an upper bound estimate for the product of dual quermassintegrals of convex body and its polar set. Our argument is based on induction on dimensions.

Citations

• Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

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