English

On a generalised Blaschke-Santal\`o inequality

Analysis of PDEs 2018-08-08 v1 Differential Geometry

Abstract

In this paper, we establish a generalised Blaschke-Santal\`o inequality for convex bodies in Rn+1\mathbb R^{n+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.

Keywords

Cite

@article{arxiv.1808.02218,
  title  = {On a generalised Blaschke-Santal\`o inequality},
  author = {Haodi Chen},
  journal= {arXiv preprint arXiv:1808.02218},
  year   = {2018}
}
R2 v1 2026-06-23T03:26:18.830Z